Inherent characteristics of sawtooth cycles can explain different glacial periodicities

Climate Dynamics

Volumn 46, Issue 1-2, 2016, Pages 557-569

  Omta, Anne Willem ^a   Kooi, Bob W ^b   van Voorn, George A K ^c   Rickaby, Rosalind E M ^d   Follows, Michael J ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

^c WAGENINGEN UNIVERSITY   (Netherlands)

^d UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Bifurcation; Emergent phenomena; Glacial interglacial; Mid Pleistocene Transition; Sawtooth cycle

Indexed keywords

EID: 84955690754     PISSN: 09307575     EISSN: 14320894     Source Type: Journal    
DOI: 10.1007/s00382-015-2598-x     Document Type: Article

References (66)

1. Augustin L, Barbante C, Barnes PRF, Barnola JM, Bigler M, Castellano E, Cattani O, Chappellaz J, Dahl-Jensen D, Delmonte B, Dreyfus G, Durand G, Falourd S, Fischer H, Flückiger J, Hansson ME, Huybrechts P, Jugie G, Johnsen SJ, Jouzel J, Kaufmann P, Kipfstuhl J, Lambert F, Lipenkov VY, Littot GC, Longinelli A, Lorrain R, Maggi V, Masson-Delmotte V, Miller H, Mulvaney R, Oerlemans J, Oerter H, Orombelli G, Parrenin F, Peel DA, Petit JR, Raynaud D, Ritz C, Ruth U, Schwander J, Siegenthaler U, Souchez R, Stauffer B, Steffensen JP, Stenni B, Stocker TF, Tabacco IE, Udisti R, van de Wal RSW, van den Broeke M, Weiss J, Wilhelms F, Winther JG, Wolff EW, Zuchelli M (2004) Eight glacial cycles from an Antarctic ice core. Nature 429:623–628
2. Beaufort L, Lancelot Y, Camberlin P, Cayre O, Vincent E, Bassinot F, Labeyrie L (1997) Insolation cycles as a major control of equatorial Indian Ocean primary production. Science 278:1451–1454
3. Berger A, Li XS, Loutre MF (1999) Modelling Northern hemisphere ice volume over the last 3 Ma. Quat Sci Rev 18:1–11
4. Berger A, Loutre MF (1991) Insolation values for the climate of the last 10 million years. Quat Sci Rev 10:297–317
5. Berger AL (1978) Long-term variations of daily insolation and quaternary climatic changes. J Atmos Sci 35:2362–2367
6. Berger WH (1982) Increase of carbon dioxide in the atmosphere during deglaciation: the coral reef hypothesis. Naturwissenschaften 69:87–88
7. Bintanja R, van de Wal RSW (2008) North American ice-sheet dynamics and the onset of 100,000-year glacial cycles. Nature 45:869–872
8. Clark PU, Pollard D (1998) Origin of the middle Pleistocene transition by ice sheet erosion of regolith. Paleoceanography 13:1–9
9. Crowley TJ, Hyde WT (2008) Transient nature of late Pleistocene climate variability. Nature 456:226–230
10. Crucifix M (2011) How can a glacial inception be predicted? The Holocene 21:831–842
11. Crucifix M (2012) Oscillators and relaxation phenomena in Pleistocene climate theory. Philos Trans R Soc A 370:1140–1165
12. Crucifix M (2013) Why could ice ages be unpredictable? Clim Past 9:2253–2267
13. Daruka I, Ditlevsen PD (2014) Changing climate response: a conceptual model for glacial cycles and the Mid-Pleistocene Transition. Clim Past Discuss 10:1101–1127
14. de Saedeleer B, Crucifix M, Wieczorek S (2013) Is the astronomical forcing a reliable and unique pacemaker for climate? A conceptual model study. Clim Dyn 40:273–294
15. Denton GH, Anderson RF, Toggweiler JR, Edwards RL, Schaefer JM, Putnam AE (2010) The last glacial termination. Science 328:1652–1656
16. Ditlevsen PD (2009) Bifurcation structure and noise-assisted transitions in the Pleistocene glacial cycles. Paleoceanography 24:PA3204
17. Doedel EJ, Oldeman B (2009) AUTO07P: continuation and bifurcation software for ordinary differential equations. Concordia University, Montreal
18. Elderfield H, Ferretti P, Greaves M, Crowhurst S, McCave IN, Hodell D, Piotrowski AM (2012) Evolution of ocean temperature and ice volume through the Mid-Pleistocene climate transition. Science 337:704–709
19. Foster GL, Vance D (2006) Negligible glacial-interglacial variation in continental weathering rates. Nature 444:918–921
20. Ghil M (1994) Cryothermodynamics: the chaotic dynamics of paleoclimate. Physica D 77:130–159
21. Gibbs MT, Kump LR (1994) Global chemical erosion during the last glacial maximum and the present: sensitivity to changes in lithology and hydrology. Paleoceanography 9:529–543
22. Gildor H, Tziperman E (2000) Sea ice as the glacial cycles’ climate switch: role of seasonal and orbital forcing. Paleoceanography 15:605–615
23. Gildor H, Tziperman E (2001) Physical mechanisms behind biogeochemical glacial-interglacial $$\text{CO}_2$$CO2 variations. Geophys Res Lett 28:2421–2424
24. Guckenheimer J, Holmes P (1985) Nonlinear oscillations, dynamical systems and bifurcations of vector fields. Springer, Berlin
25. Herbert T (1997) A long marine history of carbon cycle modulation by orbital-climatic changes. Proc Natl Acad Sci 94:8362–8369
26. Huybers PJ (2007) Glacial variability over the last two million years: an extended depth-derived agemodel, continuous obliquity pacing, and the Pleistocene progression. Quat Sci Rev 26:37–55
27. Huybers PJ (2009) Pleistocene glacial variability as a chaotic response to obliquity forcing. Clim Past 5:481–488
28. Huybers PJ, Curry WB (2006) Links between annual, Milankovitch and continuum temperature variability. Nature 441:329–332
29. Huybers PJ, Wunsch C (2005) Obliquity pacing of the late Pleistocene glacial terminations. Nature 434:491–494
30. Imbrie J, Berger A, Boyle EA, Clemens SC, Duffy A, Howard WR, Kukla G, Kutzbach J, Martinson DG, McIntyre A, Mix AC, Molfino B, Morley JJ, Peterson LC, Pisias NG, Prell WL, Raymo ME, Shackleton NJ, Toggweiler JR (1993) On the structure and origin of major glaciation cycles: 2. The 100,000-year cycle. Paleoceanography 8:699–735
31. Jaccard SL, Hayes CT, Martínez-García A, Hodell DA, Sigman DM, Haug GH (2013) Two modes of changes in Southern Ocean productivity over the past million years. Science 339:1419–1423
32. Jones IW, Munhoven G, Tranter M, Huybrechts P, Sharp MJ (2002) Modelled glacial and non-glacial $$\text{HCO}_3^-$$HCO3-, Si and Ge fluxes since the LGM: little potential for impact on atmospheric $$\text{CO}_2$$CO2 concentrations and a potential proxy of continental chemical erosion, the marine Ge/Si ratio. Glob Planet Change 33:139–153
33. Kuznetsov YA, Muratori S, Rinaldi S (1992) Bifurcations and chaos in a periodic predator-prey model. Int J Bifurcat Chaos 2:117–128
34. le Treut H, Ghil M (1983) Orbital forcing, climatic interactions, and glaciation cycles. J Geophys Res 88:5167–5190
35. Lisiecki LE, Raymo ME (2005) A Pliocene–Pleistocene stack of 57 globally distributed benthic $$\delta^{18}\text{O}$$δ18O records. Paleoceanography 20:PA1003
36. Liu Z, Herbert TD (2004) High-latitude influence on the eastern equatorial Pacific climate in the early Pleistocene epoch. Nature 427:720–723
37. Lüthi D, le Floch M, Bereiter B, Blunier T, Barnola JM, Siegenthaler U, Raynaud D, Jouzel J, Fischer H, Kawamura K, Stocker TF (2008) High-resolution carbon dioxide concentration record 650,000–800,000 years before present. Nature 453:379–382
38. Marlowe IT, Brassell SC, Eglinton G, Green JC (1990) Long-chain alkenones and alkyl alkenoates and the fossil coccolith record of marine sediments. Chem Geol 88:349–375
39. Miles J (1988) Resonance and symmetry breaking for the pendulum. Physica D 31:252–268
40. Milliman JD, Troy PJ, Balch WM, Adams AK, Li YH, Mackenzie FT (1999) Biologically mediated dissolution of calcium carbonate above the chemical lysocline? Deep Sea Res I 46:1653–1669
41. Mitsui T, Aihara K (2014) Dynamics between order and chaos in conceptual models of glacial cycles. Clim Dyn 42:3087–3099
42. Mudelsee M, Schulz M (1997) The Mid-Pleistocene climate transition: onset of 100-ka cycle lags ice-volume buildup by 280 ka. Earth Planet Sci Lett 151:117–123
43. Muller RA, MacDonald GJ (1997) Spectrum of 100-kyr glacial cycle: orbital inclination, not eccentricity. Proc Natl Acad Sci 94:8329–8334
44. Munhoven G (2002) Glacial-interglacial changes of continental weathering: estimates of the related $$\text{CO}_2$$CO2 and $$\text{HCO}_3^-$$HCO3- flux variations and their uncertainties. Glob Planet Change 33:155–176
45. Omta AW, van Voorn GAK, Rickaby REM, Follows MJ (2013) On the potential role of marine calcifiers in glacial-interglacial dynamics. Glob Biogeochem Cycles 27:692–704
46. Paillard D (1998) The timing of Pleistocene glaciations from a simple multiple-state climate model. Nature 391:378–381
47. Paillard D, Parrenin F (2004) The Antarctic ice sheet and the triggering of deglaciations. Earth Planet Sci Lett 227:263–271
48. Pelletier JD (1998) The power spectral density of atmospheric temperature from time scales of $$10^{-2}$$10-2 to $$10^6$$106 yr. Earth Planet Sci Lett 158:157–164
49. Petit JR, Jouzel J, Raynaud D, Barkov NI, Barnola JM, Basile I, Bender M, Chappellaz J, Davis M, Delaygue G, Delmotte M, Kotlyakov VM, Legrand M, Lipenkov VY, Lorius C, Pépin L, Ritz C, Saltzman E, Stievenard M (1999) Climate and atmospheric history of the past 420,000 years from the Vostok ice core, Antarctica. Nature 399:429–436
50. Raymo ME, Lisiecki LE, Nisancioglu KH (2006) Plio-Pleistocene ice volume, Antarctic climate and the global $$\delta^{18}\text{O}$$δ18O record. Science 313:492–495
51. Rial JA, Oh J, Reischmann E (2013) Synchronization of the climate system to eccentricity forcing and the 100,000-year problem. Nat Geosci 6:289–293
52. Ridgwell A, Watson AJ, Raymo ME (1999) Is the spectral signature of the 100 kyr glacial cycle consistent with a Milankovitch origin? Paleoceanography 14:437–440
53. Rinaldi S, Muratori S (1993) Conditioned chaos in seasonally perturbed predator-prey models. Ecol Model 69:79–97
54. Saltzman B, Maasch KA (1991) A first-order global model of late Cenozoic climatic change. II. Further analysis based on a simplification of the $$\text{CO}_2$$CO2 dynamics. Clim Dyn 5:201–210
55. Schefuss E, Jansen JHF, Sinninghe-Damsté JS (2005) Tropical environmental changes at the mid-Pleistocene transition: insights from lipid biomarkers. In: Head MJ, Gibbard PL (eds) Early-middle Pleistocene transitions: the land-ocean evidence. The Geological Society, Bath, pp 35–63
56. Schoepfer SD, Shen J, Wei H, Tyson RV, Ingall E, Algeo TJ (2015) Total organic carbon, organic phosphorus, and biogenic barium fluxes as proxies for paleomarine productivity. Earth Sci Rev 146:49–78
57. Schulz KG, Zeebe RE (2006) Pleistocene glacial terminations triggered by synchronous changes in Southern and Northern insolation: the insolation canon hypothesis. Earth Planet Sci Lett 249:326–336
58. Sexton PF, Barker S (2012) Onset of ‘Pacific-style’ deep-sea sedimentary carbonate cycles at the mid-Pleistocene transition. Earth Planet Sci Lett 321/322:81–94
59. Tian J, Pak DK, Wang P, Lea D, Cheng X, Zhao Q (2006) Late Pliocene monsoon linkage in the tropical South China Sea. Earth Planet Sci Lett 252:72–81
60. Tziperman E, Gildor H (2003) On the mid-Pleistocene transition to 100-kyr glacial cycles and the asymmetry between glaciation and deglaciation times. Paleoceanography 18:1001
61. Tziperman E, Raymo ME, Huybers PJ, Wunsch C (2006) Consequences of pacing the Pleistocene 100 kyr ice ages by nonlinear phase locking to Milankovitch forcing. Paleoceanography 21:PA4206
62. Walker JGC, Hays PB, Kasting JF (1981) A negative feedback mechanism for the long-term stabilization of Earth’s surface temperature. J Geophys Res 86:9776–9782
63. White AF, Blum AE, Bullen TD, Vivit DV, Schultz M, Fitzpatrick J (1999) The effect of temperature on experimental and natural chemical weathering rates of granitoid rocks. Geochim Cosmochim Acta 63:3277–3291
64. Wiggins S (1990) Introduction to applied nonlinear dynamical systems and chaos. Springer, New York
65. Wunsch C (2003) The spectral description of climate change including the 100 ky energy. Clim Dyn 20:353–363
66. Zeebe RE, Westbroek P (2003) A simple model for the $$\text{CaCO}_3$$CaCO3 saturation state of the ocean: the ‘Strangelove’, the ‘Neritan’, and the ‘Cretan’ Ocean. Geochem Geophys Geosyst 4:1104