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===== 4.2.3.3.2 From probabilistic global mean sea level projections to regional relative sea level change ===== Differences between GMSL and RSL change are driven by three main factors: (1) changes in the ocean, for instance, the thermal expansion component and the circulation driven changes, (2) gravitational and rotational effects caused by redistribution of mass within cryosphere and hydrosphere, leading to spatial patterns, and (3) long term processes caused by GIA that lead to horizontal and VLM. Finally, the inverse barometer effect caused by changes in the atmospheric pressure, sometimes neglected in projections, can also make a small contribution, particularly on shorter time scales. For the 21st century as a whole, estimates of the latter are smaller than 5 cm at local scales (Church et al., 2013 <sup>[[#fn:r635|635]]</sup> ; Carson et al., 2016 <sup>[[#fn:r636|636]]</sup> ) . Ocean Dynamic sea level: Projections of dynamic sea level change are necessarily derived through interpretations of coupled climate model projections. As with thermal expansion projections, interpretations of the CMIP5 ensemble differ with regard to how the model range is understood and the manner of drift correction, if any (Jackson and Jevrejeva, 2016 <sup>[[#fn:r637|637]]</sup> ) . However, relative to tide-gauge observations, coupled climate models tend to overestimate the memory in dynamic sea level; thus, they may underestimate the emergence of the externally forced signal of DSL change above scenario uncertainty (Becker et al., 2016 <sup>[[#fn:r638|638]]</sup> ) . ODSL from coupled climate models does not include the changes resulting from ice melt because ice melt is calculated off-line. Gravitational-rotational and deformational effects (GRD; Gregory et al., 2019 <sup>[[#fn:r638|638]]</sup> ) : All projections of RSL change include spatial patterns in sea level for cryospheric changes, which however may differ in the details with which these are represented. Some studies also include a spatial pattern for land-water storage change (Slangen et al., 2014a <sup>[[#fn:r640|640]]</sup> ) , anthropogenic subsidence is not included. Recent work indicates that, for some regions with low mantle viscosity, spatial patterns cannot be treated as fixed on multi-century time scales (Hay et al., 2017 <sup>[[#fn:r641|641]]</sup> ) . This effect has not yet been incorporated into comprehensive RSL projections, but is probably only of relevance near ice sheets. For adaptation purposes, Larour et al. (2017) developed a mapping method to indicate which areas of ice mass loss are important for which major port city. There is ''high confidence'' in the patterns caused by GRD, as in AR5. Vertical land motion (VLM): These processes can be an important driver of RSL change, particularly in the near- to intermediate-field of the large ice sheets of the LGM (e.g., North America and northern Europe). This process is incorporated either by physical modelling (Slangen et al., 2014a <sup>[[#fn:r643|643]]</sup> ) or by estimation of a long-term trend from tide-gauge data (e.g., Kopp et al., 2014) , which is then spatially extrapolated. In the former case, only the long-term GIA process is included in the projections, but it excludes other important local factors contributing to VLM (e.g., tectonic uplift/subsidence and groundwater/hydrocarbon withdrawal); by using only tide gauge measurements, projections may assume that these other processes proceed at a steady rate and thus do not allow for management changes that affect groundwater extraction. <div id="section-4-2-3-3probabilistic-sea-level-projections-block-4"></div> <span id="semi-empirical-projections"></span>
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