### Abstract

Reconstructions of the late-Holocene climate rely heavily upon proxies that are assumed to be accurately dated by layer counting, such as measurements of tree rings, ice cores, and varved lake sediments. Considerable advances could be achieved if time-uncertain proxies were able to be included within these multiproxy reconstructions, and if time uncertainties were recognized and correctly modeled for proxies commonly treated as free of age model errors. Current approaches for accounting for time uncertainty are generally limited to repeating the reconstruction using each one of an ensemble of age models, thereby inflating the final estimated uncertainty - in effect, each possible age model is given equal weighting. Uncertainties can be reduced by exploiting the inferred space-time covariance structure of the climate to re-weight the possible age models. Here, we demonstrate how Bayesian hierarchical climate reconstruction models can be augmented to account for time-uncertain proxies. Critically, although a priori all age models are given equal probability of being correct, the probabilities associated with the age models are formally updated within the Bayesian framework, thereby reducing uncertainties. Numerical experiments show that updating the age model probabilities decreases uncertainty in the resulting reconstructions, as compared with the current de facto standard of sampling over all age models, provided there is sufficient information from other data sources in the spatial region of the time-uncertain proxy. This approach can readily be generalized to non-layer-counted proxies, such as those derived from marine sediments.

Original language | English (US) |
---|---|

Pages (from-to) | 533-545 |

Number of pages | 13 |

Journal | Climate of the Past |

Volume | 11 |

Issue number | 3 |

DOIs | |

State | Published - Mar 24 2015 |

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### All Science Journal Classification (ASJC) codes

- Global and Planetary Change
- Stratigraphy
- Palaeontology

### Cite this

*Climate of the Past*,

*11*(3), 533-545. https://doi.org/10.5194/cp-11-533-2015

}

*Climate of the Past*, vol. 11, no. 3, pp. 533-545. https://doi.org/10.5194/cp-11-533-2015

**Technical Note : Probabilistically constraining proxy age-depth models within a Bayesian hierarchical reconstruction model.** / Werner, J. P.; Tingley, M. P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Technical Note

T2 - Probabilistically constraining proxy age-depth models within a Bayesian hierarchical reconstruction model

AU - Werner, J. P.

AU - Tingley, M. P.

PY - 2015/3/24

Y1 - 2015/3/24

N2 - Reconstructions of the late-Holocene climate rely heavily upon proxies that are assumed to be accurately dated by layer counting, such as measurements of tree rings, ice cores, and varved lake sediments. Considerable advances could be achieved if time-uncertain proxies were able to be included within these multiproxy reconstructions, and if time uncertainties were recognized and correctly modeled for proxies commonly treated as free of age model errors. Current approaches for accounting for time uncertainty are generally limited to repeating the reconstruction using each one of an ensemble of age models, thereby inflating the final estimated uncertainty - in effect, each possible age model is given equal weighting. Uncertainties can be reduced by exploiting the inferred space-time covariance structure of the climate to re-weight the possible age models. Here, we demonstrate how Bayesian hierarchical climate reconstruction models can be augmented to account for time-uncertain proxies. Critically, although a priori all age models are given equal probability of being correct, the probabilities associated with the age models are formally updated within the Bayesian framework, thereby reducing uncertainties. Numerical experiments show that updating the age model probabilities decreases uncertainty in the resulting reconstructions, as compared with the current de facto standard of sampling over all age models, provided there is sufficient information from other data sources in the spatial region of the time-uncertain proxy. This approach can readily be generalized to non-layer-counted proxies, such as those derived from marine sediments.

AB - Reconstructions of the late-Holocene climate rely heavily upon proxies that are assumed to be accurately dated by layer counting, such as measurements of tree rings, ice cores, and varved lake sediments. Considerable advances could be achieved if time-uncertain proxies were able to be included within these multiproxy reconstructions, and if time uncertainties were recognized and correctly modeled for proxies commonly treated as free of age model errors. Current approaches for accounting for time uncertainty are generally limited to repeating the reconstruction using each one of an ensemble of age models, thereby inflating the final estimated uncertainty - in effect, each possible age model is given equal weighting. Uncertainties can be reduced by exploiting the inferred space-time covariance structure of the climate to re-weight the possible age models. Here, we demonstrate how Bayesian hierarchical climate reconstruction models can be augmented to account for time-uncertain proxies. Critically, although a priori all age models are given equal probability of being correct, the probabilities associated with the age models are formally updated within the Bayesian framework, thereby reducing uncertainties. Numerical experiments show that updating the age model probabilities decreases uncertainty in the resulting reconstructions, as compared with the current de facto standard of sampling over all age models, provided there is sufficient information from other data sources in the spatial region of the time-uncertain proxy. This approach can readily be generalized to non-layer-counted proxies, such as those derived from marine sediments.

UR - http://www.scopus.com/inward/record.url?scp=84925683007&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84925683007&partnerID=8YFLogxK

U2 - 10.5194/cp-11-533-2015

DO - 10.5194/cp-11-533-2015

M3 - Article

AN - SCOPUS:84925683007

VL - 11

SP - 533

EP - 545

JO - Climate of the Past

JF - Climate of the Past

SN - 1814-9324

IS - 3

ER -