Elastic tie-pointing. Transferring chronologies between records via a Gaussian process. Heaton, T. ‥, Bard, E., & Hughen, K. A. Radiocarbon, 55(4):1975--1997, November, 2013.
doi  abstract   bibtex   
We consider a general methodology for the transferral of chronologies from a master reference record containing direct dating information to an undated record of interest that does not. Transferral is achieved through the identification, by an expert, of a series of tie-points within both records that are believed to correspond to approximately contemporaneous events. Through tying of the 2 records together at these points, the reference chronology is elastically deformed onto the undated record. The method consists of 3 steps: creation of an age-depth model for the reference record using its direct dating information; selection of the tie-points and translation of their age estimates from the reference to the undated record; and finally, creation of an age-depth model for the undated record using these uncertain tie-point age estimates. Our method takes full account of the uncertainties involved in all stages of the process to create a final chronology within the undated record that allows joint age estimates to be found together with their credible intervals. To achieve computational practicality, we employ a Gaussian process to create our age-depth models. Calculations can then be performed exactly without resort to extremely slow Monte Carlo methods involving multiple independent model fits that would be required by other age-depth models. © 2013 by the Arizona Board of Regents on behalf of the University of Arizona.
@article{ heaton_elastic_2013,
  title = {Elastic tie-pointing. {Transferring} chronologies between records via a {Gaussian} process},
  volume = {55},
  doi = {10.2458/azu_js_rc.55.17777},
  abstract = {We consider a general methodology for the transferral of chronologies from a master reference record containing direct dating information to an undated record of interest that does not. Transferral is achieved through the identification, by an expert, of a series of tie-points within both records that are believed to correspond to approximately contemporaneous events. Through tying of the 2 records together at these points, the reference chronology is elastically deformed onto the undated record. The method consists of 3 steps: creation of an age-depth model for the reference record using its direct dating information; selection of the tie-points and translation of their age estimates from the reference to the undated record; and finally, creation of an age-depth model for the undated record using these uncertain tie-point age estimates. Our method takes full account of the uncertainties involved in all stages of the process to create a final chronology within the undated record that allows joint age estimates to be found together with their credible intervals. To achieve computational practicality, we employ a Gaussian process to create our age-depth models. Calculations can then be performed exactly without resort to extremely slow Monte Carlo methods involving multiple independent model fits that would be required by other age-depth models. © 2013 by the Arizona Board of Regents on behalf of the University of Arizona.},
  language = {en},
  number = {4},
  journal = {Radiocarbon},
  author = {Heaton, Timothy .J. and Bard, Edouard and Hughen, Konrad A.},
  month = {November},
  year = {2013},
  pages = {1975--1997},
  annote = {Cited By (since 1996):4},
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