A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change

We present a Bayesian hierarchical model for reconstructing the continuous and dynamic evolution of relative sea-level (RSL) change with quantified uncertainty. The reconstruction is produced from biological (foraminifera) and geochemical (δ13C) sea-level indicators preserved in dated cores of salt-...

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Main Authors: Cahill, Niamh, Kemp, Andrew C., Horton, Benjamin Peter, Parnell, Andrew C.
Other Authors: Asian School of the Environment
Format: Journal Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/88094
http://hdl.handle.net/10220/46894
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author Cahill, Niamh
Kemp, Andrew C.
Horton, Benjamin Peter
Parnell, Andrew C.
author2 Asian School of the Environment
author_facet Asian School of the Environment
Cahill, Niamh
Kemp, Andrew C.
Horton, Benjamin Peter
Parnell, Andrew C.
author_sort Cahill, Niamh
collection NTU
description We present a Bayesian hierarchical model for reconstructing the continuous and dynamic evolution of relative sea-level (RSL) change with quantified uncertainty. The reconstruction is produced from biological (foraminifera) and geochemical (δ13C) sea-level indicators preserved in dated cores of salt-marsh sediment. Our model is comprised of three modules: (1) a new Bayesian transfer (B-TF) function for the calibration of biological indicators into tidal elevation, which is flexible enough to formally accommodate additional proxies; (2) an existing chronology developed using the Bchron age–depth model, and (3) an existing Errors-In-Variables integrated Gaussian process (EIV-IGP) model for estimating rates of sea-level change. Our approach is illustrated using a case study of Common Era sea-level variability from New Jersey, USA We develop a new B-TF using foraminifera, with and without the additional (δ13C) proxy and compare our results to those from a widely used weighted-averaging transfer function (WA-TF). The formal incorporation of a second proxy into the B-TF model results in smaller vertical uncertainties and improved accuracy for reconstructed RSL. The vertical uncertainty from the multi-proxy B-TF is  ∼ 28% smaller on average compared to the WA-TF. When evaluated against historic tide-gauge measurements, the multi-proxy B-TF most accurately reconstructs the RSL changes observed in the instrumental record (mean square error = 0.003m2). The Bayesian hierarchical model provides a single, unifying framework for reconstructing and analyzing sea-level change through time. This approach is suitable for reconstructing other paleoenvironmental variables (e.g., temperature) using biological proxies.
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spelling ntu-10356/880942020-09-26T21:27:20Z A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change Cahill, Niamh Kemp, Andrew C. Horton, Benjamin Peter Parnell, Andrew C. Asian School of the Environment Earth Observatory of Singapore Bayesian Transfer Function Calibration DRNTU::Science::Geology We present a Bayesian hierarchical model for reconstructing the continuous and dynamic evolution of relative sea-level (RSL) change with quantified uncertainty. The reconstruction is produced from biological (foraminifera) and geochemical (δ13C) sea-level indicators preserved in dated cores of salt-marsh sediment. Our model is comprised of three modules: (1) a new Bayesian transfer (B-TF) function for the calibration of biological indicators into tidal elevation, which is flexible enough to formally accommodate additional proxies; (2) an existing chronology developed using the Bchron age–depth model, and (3) an existing Errors-In-Variables integrated Gaussian process (EIV-IGP) model for estimating rates of sea-level change. Our approach is illustrated using a case study of Common Era sea-level variability from New Jersey, USA We develop a new B-TF using foraminifera, with and without the additional (δ13C) proxy and compare our results to those from a widely used weighted-averaging transfer function (WA-TF). The formal incorporation of a second proxy into the B-TF model results in smaller vertical uncertainties and improved accuracy for reconstructed RSL. The vertical uncertainty from the multi-proxy B-TF is  ∼ 28% smaller on average compared to the WA-TF. When evaluated against historic tide-gauge measurements, the multi-proxy B-TF most accurately reconstructs the RSL changes observed in the instrumental record (mean square error = 0.003m2). The Bayesian hierarchical model provides a single, unifying framework for reconstructing and analyzing sea-level change through time. This approach is suitable for reconstructing other paleoenvironmental variables (e.g., temperature) using biological proxies. Published version 2018-12-10T05:30:32Z 2019-12-06T16:55:51Z 2018-12-10T05:30:32Z 2019-12-06T16:55:51Z 2016 Journal Article Cahill, N., Kemp, A. C., Horton, B. P., & Parnell, A. C. (2016). A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change. Climate of the Past, 12(2), 525-542. doi:10.5194/cp-12-525-2016 1814-9324 https://hdl.handle.net/10356/88094 http://hdl.handle.net/10220/46894 10.5194/cp-12-525-2016 en Climate of the Past © 2016 The Authors (Published by Copernicus Publications on behalf of the European Geosciences Union (EGU)). This is an open access article under the terms of the Creative Commons Attribution-NonCommercial-NoDerivs License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made. 18 p. application/pdf
spellingShingle Bayesian Transfer Function
Calibration
DRNTU::Science::Geology
Cahill, Niamh
Kemp, Andrew C.
Horton, Benjamin Peter
Parnell, Andrew C.
A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change
title A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change
title_full A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change
title_fullStr A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change
title_full_unstemmed A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change
title_short A Bayesian hierarchical model for reconstructing relative sea level: from raw data to rates of change
title_sort bayesian hierarchical model for reconstructing relative sea level from raw data to rates of change
topic Bayesian Transfer Function
Calibration
DRNTU::Science::Geology
url https://hdl.handle.net/10356/88094
http://hdl.handle.net/10220/46894
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