Abstract

This article presents a review of current practice in estimating steric sea level change, focussed on the treatment of uncertainty. Steric sea level change is the contribution to the change in sea level arising from the dependence of density on temperature and salinity. It is a significant component of sea level rise and a reflection of changing ocean heat content. However, tracking these steric changes still remains a significant challenge for the scientific community. We review the importance of understanding the uncertainty in estimates of steric sea level change. Relevant concepts of uncertainty are discussed and illustrated with the example of observational uncertainty propagation from a single profile of temperature and salinity measurements to steric height. We summarise and discuss the recent literature on methodologies and techniques used to estimate steric sea level in the context of the treatment of uncertainty. Our conclusions are that progress in quantifying steric sea level uncertainty will benefit from: greater clarity and transparency in published discussions of uncertainty, including exploitation of international standards for quantifying and expressing uncertainty in measurement; and the development of community “recipes” for quantifying the error covariances in observations and from sparse sampling and for estimating and propagating uncertainty across spatio-temporal scales.

Highlights

  • Global mean sea level (GMSL) change integrates all the volume changes of the world ocean (Church et al 2013)

  • We review the importance of understanding the uncertainty in estimates of steric sea level change

  • Quantifying the effect of the sea water density changes on sea level variability is of crucial importance for climate change studies, as the cumulative sea level rise can be regarded as an important climate change indicator, as well as being of direct societal importance

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Summary

Introduction

Global mean sea level (GMSL) change integrates all the volume changes of the world ocean (Church et al 2013). Reanalyses is comparatively well constrained by observations, in contrast to large uncertainty in the deep ocean ([700 m) and halosteric contributions (Storto et al 2015) These results emphasise the need to better observe the deep ocean, both for providing observational constraints for future ocean state estimation efforts and to develop improved models and data assimilation methods (Palmer et al 2015). Full depth global steric sea level change can be derived from the difference of total sea level change from satellite altimetry (Cazenave and Llovel 2010) and the change from ocean mass change measured using gravimetry (Chambers et al 2010) Results based on this method underpin the significant role of deep ocean warming (Rietbroek et al 2016), but uncertainties in the different observing systems are too large to quantify the contribution below 2000 m depth (von Schuckmann et al 2014). In the light of these practices, some conclusions are drawn in the final section

Calculating Steric Sea level
Equation of State
Uncertainty in Steric Sea Level Change
Importance of Uncertainty
Key Uncertainty Concepts
Uncertainty of Steric Sea Level Estimate from a Single Profile
Global Mean Estimates
Temperature and Salinity In Situ Measurements
Method
Objective analyses
Background climatology
Published Sea Level Trends
Spatial Structures of Steric Sea Level Change
Considerations Regarding Background Climatology
Uncertainty in Trends and Global Means
Discussion
Findings
CLImate and ocean
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