Inherent characteristics of sawtooth cycles can explain different glacial periodicities
At the Mid-Pleistocene Transition about 1 Ma, the dominant periodicity of the glacial-interglacial cycles shifted from ~40 to ~100 kyr. Here, we use a previously developed mathematical model to investigate the possible dynamical origin of these different periodicities. The model has two variables, o...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/103540 https://orcid.org/0000-0002-3102-0341 |
| _version_ | 1811068805923733504 |
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| author | Omta, Anne Willem Kooi, Bob W. van Voorn, George A. K. Rickaby, Rosalind E. M. Follows, Michael J |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Omta, Anne Willem Kooi, Bob W. van Voorn, George A. K. Rickaby, Rosalind E. M. Follows, Michael J |
| author_sort | Omta, Anne Willem |
| collection | MIT |
| description | At the Mid-Pleistocene Transition about 1 Ma, the dominant periodicity of the glacial-interglacial cycles shifted from ~40 to ~100 kyr. Here, we use a previously developed mathematical model to investigate the possible dynamical origin of these different periodicities. The model has two variables, one of which exhibits sawtooth oscillations, resembling the glacial-interglacial cycles, whereas the other variable exhibits spikes at the rapid transitions. When applying a sinusoidal forcing with a fixed period, there emerges a rich variety of cycles with different periodicities, each being a multiple of the forcing period. Furthermore, the dominant periodicity of the system can change, while the forcing periodicity remains fixed, due to either random variations or different frequency components of the orbital forcing. Two key relationships stand out as predictions to be tested against observations: (1) the amplitude and the periodicity of the cycles are approximately linearly proportional to each other, a relationship that is also found in the δ[superscript 18]O temperature proxy. (2) The magnitude of the spikes increases with increasing periodicity and amplitude of the sawtooth. This prediction could be used to identify one or more currently hidden spiking variables driving the glacial-interglacial transitions. Essentially, the quest would be for any proxy record, concurrent with a dynamical model prediction, that exhibits deglacial spikes which increase at times when the amplitude/periodicity of the glacial cycles increases. In the specific context of our calcifier-alkalinity mechanism, the records of interest would be calcifier productivity and calcite accumulation. We believe that such a falsifiable hypothesis should provide a strong motivation for the collection of further records. |
| first_indexed | 2024-09-23T08:01:28Z |
| format | Article |
| id | mit-1721.1/103540 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:01:28Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1035402024-05-15T08:24:07Z Inherent characteristics of sawtooth cycles can explain different glacial periodicities Omta, Anne Willem Kooi, Bob W. van Voorn, George A. K. Rickaby, Rosalind E. M. Follows, Michael J Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Omta, Anne Willem Follows, Michael J. At the Mid-Pleistocene Transition about 1 Ma, the dominant periodicity of the glacial-interglacial cycles shifted from ~40 to ~100 kyr. Here, we use a previously developed mathematical model to investigate the possible dynamical origin of these different periodicities. The model has two variables, one of which exhibits sawtooth oscillations, resembling the glacial-interglacial cycles, whereas the other variable exhibits spikes at the rapid transitions. When applying a sinusoidal forcing with a fixed period, there emerges a rich variety of cycles with different periodicities, each being a multiple of the forcing period. Furthermore, the dominant periodicity of the system can change, while the forcing periodicity remains fixed, due to either random variations or different frequency components of the orbital forcing. Two key relationships stand out as predictions to be tested against observations: (1) the amplitude and the periodicity of the cycles are approximately linearly proportional to each other, a relationship that is also found in the δ[superscript 18]O temperature proxy. (2) The magnitude of the spikes increases with increasing periodicity and amplitude of the sawtooth. This prediction could be used to identify one or more currently hidden spiking variables driving the glacial-interglacial transitions. Essentially, the quest would be for any proxy record, concurrent with a dynamical model prediction, that exhibits deglacial spikes which increase at times when the amplitude/periodicity of the glacial cycles increases. In the specific context of our calcifier-alkalinity mechanism, the records of interest would be calcifier productivity and calcite accumulation. We believe that such a falsifiable hypothesis should provide a strong motivation for the collection of further records. National Science Foundation (U.S.) (NSF Grant OCE-1155295) European Research Council (ERC) (Grant SP2-GA-2008-200915) National Science Foundation (U.S.) (NSF Grant OCE-1259388) Netherlands. Ministry of Economic Affairs (Knowledge Base IV (KBIV) ‘sustainable spatial development of ecosystems, landscapes, seas and regions’) 2016-07-07T19:12:42Z 2016-07-07T19:12:42Z 2015-04 2016-05-23T12:10:10Z Article http://purl.org/eprint/type/JournalArticle 0930-7575 1432-0894 http://hdl.handle.net/1721.1/103540 Omta, Anne Willem, Bob W. Kooi, George A. K. van Voorn, Rosalind E. M. Rickaby, and Michael J. Follows. “Inherent Characteristics of Sawtooth Cycles Can Explain Different Glacial Periodicities.” Climate Dynamics 46, no. 1–2 (April 16, 2015): 557–569. https://orcid.org/0000-0002-3102-0341 en http://dx.doi.org/10.1007/s00382-015-2598-x Climate Dynamics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ Springer-Verlag Berlin Heidelberg application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Omta, Anne Willem Kooi, Bob W. van Voorn, George A. K. Rickaby, Rosalind E. M. Follows, Michael J Inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| title | Inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| title_full | Inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| title_fullStr | Inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| title_full_unstemmed | Inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| title_short | Inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| title_sort | inherent characteristics of sawtooth cycles can explain different glacial periodicities |
| url | http://hdl.handle.net/1721.1/103540 https://orcid.org/0000-0002-3102-0341 |
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