Ashe, Erica L. and Cahill, Niamh and Hay, Carling and Khan, Nicole and Kemp, Andrew and Engelhart, Simon E. and Horton, Benjamin P. and Parnell, Andrew and Kopp, Robert E. (2019) Statistical modeling of rates and trends in Holocene relative sea level. Quaternary Science Reviews, 204. pp. 58-77. ISSN 0277-3791

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Abstract

Characterizing the spatio-temporal variability of relative sea level (RSL) and estimating local, regional,and global RSL trends requires statistical analysis of RSL data. Formal statistical treatments, needed to account for the spatially and temporally sparse distribution of data and for geochronological and elevational uncertainties, have advanced considerably over the last decade. Time-series models have adopted more flexible and physically-informed specifications with more rigorous quantification of uncertainties. Spatiotemporal models have evolved from simple regional averaging to frameworks that more richly represent the correlation structure of RSL across space and time. More complex statistical approaches enable rigorous quantification of spatial and temporal variability, the combination of geographically disparate data, and the separation of the RSL field into various components associated with different driving processes. We review the range of statistical modeling and analysis choices used in the literature, reformulating them for ease of comparison in a common hierarchical statistical frame-work. The hierarchical framework separates each model into different levels, clearly partitioning measurement and inferential uncertainty from process variability. Placing models in a hierarchical framework enables us to highlight both the similarities and differences among modeling and analysis choices. We illustrate the implications of some modeling and analysis choices currently used in the literature by comparing the results of their application to common datasets within a hierarchical framework. In light of the complex patterns of spatial and temporal variability exhibited by RSL, were commend non-parametric approaches for modeling temporal and spatio-temporal RSL.

Item Type:	Article
Additional Information:	Cite as: Erica L. Ashe, Niamh Cahill, Carling Hay, Nicole S. Khan, Andrew Kemp, Simon E. Engelhart, Benjamin P. Horton, Andrew C. Parnell, Robert E. Kopp, Statistical modeling of rates and trends in Holocene relative sea level, Quaternary Science Reviews, Volume 204, 2019, Pages 58-77, ISSN 0277-3791, https://doi.org/10.1016/j.quascirev.2018.10.032
Keywords:	Hierarchical statistical modeling; Sea level; RSL
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	13626
Identification Number:	https://doi.org/10.1016/j.quascirev.2018.10.032
Depositing User:	Niamh Cahill
Date Deposited:	24 Nov 2020 15:49
Journal or Publication Title:	Quaternary Science Reviews
Publisher:	Elsevier
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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