A method for estimating coastline recession due to sea level rise by assuming stationary wind-wave climate

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1 Climate change - The environmental and socio-economic response in the southern Baltic region Szczecin, Poland, A method for estimating coastline recession due to sea level rise by assuming stationary wind-wave climate Junjie Deng 1, Jan Harff 1, Semjon Schimanke 2 and H.E. Markus Meier 2,3 1 Institute of Marine and Coastal Sciences, University of Szczecin, Poland 2 Swedish Meteorological and Hydrological Institute, Sweden 3 Stockholm University, Sweden Session E: Changing Baltic Sea coasts and their sustainable protection WEDNESDAY, 14 May 2014

2 The Baltic region

3 Coastal erosion during storm surge at Dziwnów on November 4, 1995 Photo: P. Domaradzki

4 Relative sea level rise at southern Baltic Sea. (secular rate: mm/yr) Groh et al., 2012

5 Glacial Isostatic Adjustments (unit: mm/yr) Dudzinska-Nowak et al. (in prep.)

6 Glacial Isostatic Adjustments (unit: mm/yr) Dudzinska-Nowak et al. (in prep.)

7 Swina Gate area, Southern Baltic Sea Swina Gate Hel Peninsula Łeba coast

8 Long-shore Sediment Transport Capacity by using CERC formula (USACE, 1984):

9 Historical coastline changes with accuracy error bars

10 What s Dynamic Equilibrium Shore Model? Mass-balanced source-to-sink model Semi-enclosed system: Q LST Q,in = LST, out = 0

11 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Data input Recent DEM Coastline change AD Eustasy Glacial Isostatic Adjustments

12 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Iteration Inverse modeling Model parameter Model Data input Recent DEM Coastline change AD Sediment budget analysis Eustasy Glacial Isostatic Adjustments

13 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Inverse modeling Data input Data output Sediment budget AD Iteration Model parameter Sediment budget analysis Model Recent DEM Coastline change AD Eustasy Glacial Isostatic Adjustments

14 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Inverse modeling Data input Data output Sediment budget AD Stationary wind-wave climate Iteration Model parameter Sediment budget analysis Model Recent DEM Coastline change AD Eustasy Glacial Isostatic Adjustments Approximation Sediment budget AD

15 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Inverse modeling Data input Data output Sediment budget AD Stationary wind-wave climate Iteration Model parameter Sediment budget analysis Model Recent DEM Coastline change AD Eustasy Glacial Isostatic Adjustments Approximation Statistics Sediment budget AD

16 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Inverse modeling Data input Data output Sediment budget AD Stationary wind-wave climate Iteration Model parameter Sediment budget analysis Model Recent DEM Coastline change AD Eustasy Glacial Isostatic Adjustments Approximation Statistics Future projection Sediment budget AD Morphodynamic equations

17 Modelling strategy of Dynamic Equilibrium Shore Model (DESM) Inverse modeling Data input Data output Sediment budget AD Stationary wind-wave climate Iteration Model parameter Sediment budget analysis Model Recent DEM Coastline change AD Eustasy Glacial Isostatic Adjustments Approximation Statistics Sediment budget AD Future projection Morphodynamic equations Data output Coastline change AD Scenarios of sea level change by 2100 AD

18 Predictive mode of Dynamic Equilibrium Shore Model (V external ) i Q x + Q y = 0

19 Predictive mode of Dynamic Equilibrium Shore Model Subaerial sediment mass volume change (V external ) i Q x + Q y = 0 Submarine sediment mass volume change Lateral sediment flux

20 Predictive mode of Dynamic Equilibrium Shore Model Relative sea level rise Length of cross-shore coastal profile V ' external () c s * l Q + Q = 0 + i i x y Coastline retreat distance

21 Predictive mode of Dynamic Equilibrium Shore Model Relative sea level rise Length of cross-shore coastal profile V ' external () c s * l Q + Q = 0 + i i x y V ' external,i = E* c i + F ci (h cliff_foot,i + h cliff,i + s i /2)

22 Predictive mode of Dynamic Equilibrium Shore Model Relative sea level rise Length of cross-shore coastal profile V ' external () c s * l Q + Q = 0 + i i x y V ' external,i = E* ci + F c (h + h s/2) i cliff_foot,i cliff, i + Paleo reconstruction by using iterative inverse modelling

23 Predictive mode of Dynamic Equilibrium Shore Model c i = Q F x, i i i ( E + hcliff _ foot, i + hcliff, i s l + s / 2)

24 Predictive mode of Dynamic Equilibrium Shore Model c i = Q F x, i i i ( E + hcliff _ foot, i + hcliff, i s l + s / 2) c i *h * = s i l i Bruun rule model

25 Climate model: Swedish Meteorological and Hydrological Institute (SMHI): RCAO Meier et al. (2011)

26 Climate model: Swedish Meteorological and Hydrological Institute (SMHI): RCAO Meier et al. (2011)

27 Climate model: Swedish Meteorological and Hydrological Institute (SMHI): RCAO Meier et al. (2011)

28 Future projection of wind climate change: wind speed Scenario : A1B Scenario : A2

29 Future projection of wind climate change: wind speed Scenario : A1B Scenario : A2

30 For the future projection of coastline changes by 2100 AD Lateral sediment flux ~ AD c i = Q F x, i i i ( E + hcliff _ foot, i + hcliff, i s l + s / 2)

31 c i = Q F x, i i i ( E + hcliff _ foot, i + hcliff, i s l + s / 2)

32 Future projection of coastline changes 2000AD AD with eustatic sea level rise of 0.12 m and 0.24m

33 Comparison with other equilibrium models 1. Modified Bruun rule model by Bray and Hooke (1997): R 2 ( S2 S1 )L = R1 + P( B+ h ) * where P is the proportion (here, is 1 ) of cliff sediment that remains within the active profile (% sand and gravel) and B is cliff elevation; R 1 is historic retreat rate and S 1 is historical relative sea level rise; R 2 is future retreat rate and S 2 is future relative sea level rise.

34 2. SCAPE model (m=0.5) by Walkden and Dickson (2008): R 2 = R ( 1 S S 2 1 m ) where R 1 and R 2 are historic and future retreat rates, and S 1 and S 2 are historical and future relative sea level rises.

35

36

37 Conclusions The model DESM is also capable for the future projection as a first-order three dimensional prediction. The predictive mode of the DESM model is developed based on paleo-scenarios reconstructed by the DESM model. The predictive mode of the DESM model provides a first-order three dimensional projection of coastline changes. The impact of sea level rise is determined by the ratio between the lateral sediment flux and the ccommodation space evolving from relative sea level rise. The result indicates that the impact of accelerated sea level rise is significant especially when thelateral sediment flux is relative small.

38 The study was supported by the research project Coastline changes of the southern Baltic Sea - past and future projection CoPaF funded by the Polish Ministry of Science and Higher Education with the grant No. NN from 2010 to 2013, and the Polish National Science Centre with the grant No. DEC- 2011/01/N/ST10/07531 from Thank you!

39 Sediment budget estimation Paleo profile b 1 is determined by iterative inverse procedure Lateral sediment flux

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