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===== 4.2.3.4.1 Relative sea level and extreme sea level events based on tide gauge records ===== Changes in ESL are presented here, based on the projections as presented in 4.2.3.2 at the tide gauge locations in the GESLA2 database (Woodworth et al., 2016 <sup>[[#fn:r712|712]]</sup> ). Results include GIA effects, but anthropogenic subsidence is not prescribed. These calculations serve as a signal to guide adaption to SLR (Stephens et al., 2018 <sup>[[#fn:r713|713]]</sup> ). Return periods are calculated as a combination of regional RSL projections and a probabilistic characterisation of the variability in sea level as derived from the GESLA2 data set which contains a quasi-global set of tide gauges. By doing so, it is assumed that the variability in the tide gauge record does not change over time. Models are not accurate enough to address whether this is correct or not. To quantify the average return period of ESL events, a peak-over-threshold method is applied following Arns et al. (2013) <sup>[[#fn:r714|714]]</sup> and Wahl et al. (2017) <sup>[[#fn:r715|715]]</sup> . Tide gauge records are detrended by subtracting a running mean of one year. Peaks above the 99th percentile of hourly water levels are extracted and declustered by applying a minimum time between peaks of 72 hours. This threshold of 99% was recommended by Wahl et al. (2017) <sup>[[#fn:r716|716]]</sup> for global applications. Using a maximum likelihood estimator, a Generalized Pareto Distribution (GPD) is fitted to these peaks, allowing for an extrapolation to return periods beyond the available period of observations. Changes in ESL events due to regional mean SLR are quantified following Hunter (2010) <sup>[[#fn:r717|717]]</sup> . Uncertainties in the GPD parameters and projections are propagated using a Monte Carlo approach, from which a best estimate is derived (see SM4.2). Only tide gauge records of 20 years of longer, which are at least 70% complete, are used. However, as can be seen for Guam (Fig 4.9), this does not ensure a good fit of the GPD to all peaks, as rare events may have been captured in this relatively short record. Projected changes in ESL events are shown for 12 selected tide gauges in Figure 4.11. The magnitude of these changes depends on the relation between ESL events and the associated return periods, as well as regional sea level projections, and the uncertainty therein (see inset Figure 4.11). The change in ESL events is commonly expressed in terms of the amplification factor and the allowance. The amplification factor denotes the amplification in the average occurrence frequency of a certain extreme event, often referenced to the water level with a 100-year return period during the historic period. The allowance denotes the increased height of the water level with a given return period. This allowance equals the regional projection of SLR with an additional height related to the uncertainty in the projection (Hunter, 2012 <sup>[[#fn:r718|718]]</sup> ). Amplification factors are strongly determined by the local variability in ESL events. Locations where this variability is large due to large storm surges and astronomical tides (e.g., Cuxhaven, see Figure 4.9) will experience a relatively moderate amplification of the occurrence frequency of extremes. In comparison, locations with small variability in ESL events (e.g., Lautoka and Papeete) will experience large amplifications even for a moderate rise in mean sea level (Vitousek et al., 2017 <sup>[[#fn:r719|719]]</sup> ). Globally, this contrast between regions with large and small amplification factors becomes clear for projections by mid-century (Fig 4.11, left panels). Although regional differences in projected mean SLR are small for the coming centuries, regional contrasts in amplification factors are considerable. In particular, many coastal areas in the lower latitudes may expect amplification factors of 100 or larger by mid-century, regardless of the scenario as also shown in SR15 and Rasmussen et al. (2018). This indicates that, at these locations, water levels with return periods of 100 years during recent past will become annual or more frequent events by mid-century. By end-century and in particular under RCP8.5, such amplification factors are widespread along the global coastlines (Vousdoukas et al., 2018a <sup>[[#fn:r720|720]]</sup> ). <span id="figure-4.11"></span> <!-- START IMG --> <!-- IMG TITLE --> '''Figure 4.11''' <span id="figure-4.11-the-relation-between-expected-extreme-sea-level-esl-events-and-return-period-at-a-set-of-characteristic-tide-gauge-locations-see-upper-left-for-their-location-referenced-to-recent-past-mean-sea-level-based-on-observations-in-the-gesla-2-data-base-grey-lines-and-20812100-conditions-for-three-different-rcp-scenarios-as"></span> <!-- IMG CAPTION --> '''Figure 4.11 | The relation between expected extreme sea level (ESL) events and return period at a set of characteristic tide gauge locations (see upper left for their location), referenced to recent past mean sea level, based on observations in the GESLA-2 data base (grey lines) and 2081β2100 conditions for three different RCP scenarios as [β¦]''' <!-- IMG FILE --> [[File:2c3ee38945aaa3d2678c0a9389d75ccb IPCC-SROCC-CH_4_11-2560x3000.jpg]] Figure 4.11 | The relation between expected extreme sea level (ESL) events and return period at a set of characteristic tide gauge locations (see upper left for their location), referenced to recent past mean sea level, based on observations in the GESLA-2 data base (grey lines) and 2081β2100 conditions for three different RCP scenarios as presented in Section 4.2.3.2. The grey bands represent the 5β95% uncertainty range in the fit of the extreme value distribution to observations. The upper right hand panel provides an example illustrating the relationship between ESL events and return period for historical and future conditions; the blue line in this panel shows the best estimate ESL event above the 1986β2005 reference mean sea level. The coloured lines for the different locations show this expected ESL events for different RCP scenarios. The horizontal line denoting the amplification factor expresses the increase in frequency of events which historically have a return period of once every 100 years. In the example, a water level of 2.5 m above mean sea level, recurring in the recent climate approximately every 100 years in recent past climate, will occur every 2 to 3 years under future climate conditions. The allowance expresses the increase in ESL for events that historically have a return period of 100 years. <!-- END IMG --> <span id="figure-4.12"></span> <!-- START IMG --> <!-- IMG TITLE --> '''Figure 4.12''' <span id="figure-4.12-the-colours-of-the-dots-express-the-factor-by-which-the-frequency-of-extreme-sea-level-esl-events-increase-in-the-future-for-events-which-historically-have-a-return-period-of-100-years.-hence-a-value-of-50-means-that-what-is-currently-1-in-100-year-event-will-happen-every-2-years-due"></span> <!-- IMG CAPTION --> '''Figure 4.12 | The colours of the dots express the factor by which the frequency of extreme sea level (ESL) events increase in the future for events which historically have a return period of 100 years. Hence a value of 50 means that what is currently 1-in-100 year event will happen every 2 years due [β¦]''' <!-- IMG FILE --> [[File:07ae878d8b95d32d616dfd462e96e0c1 IPCC-SROCC-CH_4_12-3000x2581.jpg]] Figure 4.12 | The colours of the dots express the factor by which the frequency of extreme sea level (ESL) events increase in the future for events which historically have a return period of 100 years. Hence a value of 50 means that what is currently 1-in-100 year event will happen every 2 years due to a rise in mean sea level. Results are shown for three RCP scenarios and two future time slices as median values. Results are shown for tide gauges in the GESLA2 database. The accompanying confidence interval can be found in SM4.2 as well as a list of all locations. The data underlying the graph are identical to those presented in Figure 4.11. The amplification factor is schematically explained in the upper right panel of figure 4.11. Storm climatology is constant in these projections. In summary, ESL events estimates as presented in this subsection, clearly show that as a consequence of SLR, events which are currently rare (e.g., with an average return period of 100 years), will occur annually or more frequently at most available locations for RCP8.5 by the end of the century ( ''high confidence'' ). For some locations, this change will occur as soon as mid-century for RCP8.5 and by 2100 for all emission scenarios. The affected locations are particularly located in low-latitude regions, away from the tropical cyclone (TC) tracks. In these locations, historical sea level variability due to tides and storm surges is small compared to projected mean SLR. Therefore, even limited changes in mean sea level will have a noticeable effect on ESLs, and for some locations, even RCP2.6 will lead to the annual occurrence of historically rare events by mid-century. Results should be treated with caution in regions where TCs are important as they are underrepresented in the observations (Haigh et al., 2014a <sup>[[#fn:r721|721]]</sup> ). <!-- END IMG --> <div id="section-4-2-3-4changes-in-extreme-sea-level-events-block-3"></div> <span id="waves"></span>
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