Integral correlation for uneven and differently sampled data, and its application to the Law Dome Antarctic climate record

Jason L Roberts; Lenneke M Jong; Felicity S McCormack; Mark A Curran; Andrew D Moy; David M Etheridge; Jamin S Greenbaum; Duncan A Young; Steven J Phipps; Wenyue Xue; Tas D van Ommen; Donald D Blankenship; Martin J Siegert

doi:10.1038/s41598-020-74532-9

Integral correlation for uneven and differently sampled data, and its application to the Law Dome Antarctic climate record

Sci Rep. 2020 Oct 15;10(1):17477. doi: 10.1038/s41598-020-74532-9.

Authors

Jason L Roberts^{1

2}, Lenneke M Jong^{3

4}, Felicity S McCormack⁵, Mark A Curran^{3

4}, Andrew D Moy^{3

4}, David M Etheridge⁶, Jamin S Greenbaum⁷, Duncan A Young⁸, Steven J Phipps⁹, Wenyue Xue⁹, Tas D van Ommen^{3

4}, Donald D Blankenship⁸, Martin J Siegert¹⁰

Affiliations

¹ Australian Antarctic Division, Kingston, TAS, 7050, Australia. Jason.Roberts@aad.gov.au.
² Australian Antarctic Program Partnership, Institute for Marine and Antarctic Studies, University of Tasmania, Hobart, TAS, 7004, Australia. Jason.Roberts@aad.gov.au.
³ Australian Antarctic Division, Kingston, TAS, 7050, Australia.
⁴ Australian Antarctic Program Partnership, Institute for Marine and Antarctic Studies, University of Tasmania, Hobart, TAS, 7004, Australia.
⁵ Monash Ice Sheet Initiative, School of Earth, Atmosphere and Environment, Monash University, Clayton, VIC, 3168, Australia.
⁶ Climate Science Centre, CSIRO Oceans and Atmosphere, PMB 1, Aspendale, VIC, 3195, Australia.
⁷ Scripps Institution of Oceanography, University of California San Diego, La Jolla, CA, 92093, USA.
⁸ Institute for Geophysics, Jackson School of Geosciences, University of Texas at Austin, Austin, TX, 78712-1692, USA.
⁹ Institute for Marine and Antarctic Studies, University of Tasmania, Hobart, TAS, 7001, Australia.
¹⁰ Department of Earth Science and Engineering, Grantham Institute, Imperial College London, South Kensington, London, SW7 2AZ, UK.

Abstract

We present a new simple and efficient method for correlation of unevenly and differently sampled data. This new method overcomes problems with other methods for correlation with non-uniform sampling and is an easy modification to existing correlation based codes. To demonstrate the usefulness of this new method to real-world examples, we apply the method with good success to two glaciological examples to map the ages from a well-dated ice core to a nearby core, and by tracing isochronous layers within the ice sheet measured from ice-penetrating radar between the two ice core sites.

Publication types

Research Support, Non-U.S. Gov't