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Abstract
Recent work has provided ample evidence that nonlinear methods of time series analysis potentially allow for detecting periods of anomalous dynamics in paleoclimate proxy records that are otherwise hidden to classical statistical analysis. Following upon these ideas, in this study, we systematically test a set of Late Holocene terrestrial paleoclimate records from Northern Europe for indications of intermittent periods of time- irreversibility during which the data are incompatible with a stationary linear-stochastic process. Our analysis reveals that the onsets of both the Medieval Climate Anomaly and the Little Ice Age, the end of the Roman Warm Period, and the Late Antique Little Ice Age have been characterized by such dynamical anomalies. These findings may indicate qualitative changes in the dominant regime of interannual climate variability in terms of large-scale atmospheric circulation patterns, ocean-atmosphere interactions, and external forcings affecting the climate of the North Atlantic region.
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References
Ammann CM, Joos F, Schimel DS, Otto-Bliesner BL, Tomas RA (2007) Solar influence on climate during the past millennium: results from transient simulations with the NCAR Climate System Model. Proc Natl Acad Sci 104(10):3713–3718. doi:10.1073/pnas.0605064103
Bianchi GG, McCave IN (1999) Holocene periodicity in North Atlantic climate and deep-ocean flow south of Iceland. Nature 397(6719):515–517. doi:10.1038/17362
Bradley RS, Hughes MK, Diaz HF (2003) Climate in medieval time. Science 302(5644):404–405. doi:10.1126/science.1090372
Bradley RS, Wanner H, Diaz HF (2016) The Medieval Quiet Period. The Holocene 26(6):990–993. doi:10.1177/0959683615622552
Briffa KR, Jones PD, Schweingruber FH, Osborn TJ (1998) Influence of volcanic eruptions on Northern Hemisphere summer temperature over the past 600 years. Nature 393(6684):450–455. doi:10.1038/30943
Büntgen U, Tegel W, Nicolussi K, McCormick M, Frank D, Trouet V, Kaplan JO, Herzig F, Heussner KU, Wanner H, Luterbacher J, Esper J (2011) 2500 Years of European Climate Variability and Human Susceptibility. Science 331(6017):578–582. doi:10.1126/science.1197175
Büntgen U, Myglan VS, Ljungqvist FC, McCormick M, Di Cosmo N, Sigl M, Jungclaus J, Wagner S, Krusic PJ, Esper J et al (2016) Cooling and societal change during the Late Antique Little Ice Age from 536 to around 660 AD. Nat Geosci 9(3):231–236. doi:10.1038/ngeo2652
Camenisch C, Keller KM, Salvisberg M, Amann B, Bauch M, Blumer S, BrÁzdil R, Brönnimann S, Büntgen U, Campbell BMS, FernÁndez-Donado L, Fleitmann D, Glaser R, GonzÁlez-Rouco F, Grosjean M, Hoffmann RC, Huhtamaa H, Joos F, Kiss A, Kotyza O, Lehner F, Luterbacher J, Maughan N, Neukom R, Novy T, Pribyl K, Raible CC, Riemann D, Schuh M, Slavin P, Werner JP, Wetter O (2016) The early Sporer̈ minimum - a period of extraordinary climate and socio-economic changes in Western and Central Europe. Clim Past 12(11):2107–2126. doi:10.5194/cp-2016-7
Coombes P, Barber K (2005) Environmental determinism in Holocene research: causality or coincidence? Area 37(3):303–311. doi:10.1111/j.1475-4762.2005.00634.x
Crowley TJ (2000) Causes of climate change over the past 1000 years. Science 289(5477):270–277. doi:10.1126/science.289.5477.270
Crowley TJ, Zielinski G, Vinther B, Udisti R, Kreutz K, Cole-Dai J, Castellano E (2008) Volcanism and the Little Ice Age. PAGES news 16(2):22–23. doi:10.1029/2002GL0166335
Donges JF, Donner RV, Trauth MH, Marwan N, Schellnhuber HJ, Kurths J (2011) Nonlinear detection of paleoclimate-variability transitions possibly related to human evolution. Proc Natl Acad Sci 108(51):20,422–20,427
Donges JF, Donner RV, Kurths J (2013) Testing time series irreversibility using complex network methods. EPL (Europhysics Letters) 102(1):10,004. doi:10.1209/0295-5075/102/10004
Donges JF, Donner R, Marwan N, Breitenbach SF, Rehfeld K, Kurths J (2015a) Non-linear regime shifts in Holocene Asian monsoon variability: potential impacts on cultural change and migratory patterns. Clim Past 11(5):709–741. doi:10.5194/cp-11-709-2015
Donges JF, Heitzig J, Beronov B, Wiedermann M, Runge J, Feng QY, Tupikina L, Stolbova V, Donner RV, Marwan N, Dijkstra HA, Kurths J (2015b) Unified functional network and nonlinear time series analysis for complex systems science: The pyunicorn package. Chaos 25(11):113,101. doi:10.1063/1.4934554
Esper J, Frank DC, Timonen M, Zorita E, Wilson RJS, Luterbacher J, Holzkämper S, Fischer N, Wagner S, Nievergelt D, Verstege A, Büntgen U (2012) Orbital forcing of tree-ring data. Nat Clim Chang 2(12):862–866. doi:10.1038/nclimate1589
Fagan BM (2000) The Little Ice Age: How climate made history 1300-1850. Basic Books, New York
Gouirand I, Linderholm HW, Moberg A, Wohlfarth B (2008) On the spatiotemporal characteristics of Fennoscandian tree-ring based summer temperature reconstructions. Theor Appl Climatol 91 (1):1–25. doi:10.1007/s00704-007-0311-7
Gunnarson BE, Linderholm HW, Moberg A (2011) Improving a tree-ring reconstruction from west-central Scandinavia: 900 years of warm-season temperatures. Clim Dyn 36(1):97–108. doi:10.1007/s00382-010-0783-5
Helama S, Timonen M, Holopainen J, Ogurtsov M G, Mielikäinen K, Eronen M, Lindholm M, Meriläinen J (2009) Summer temperature variations in Lapland during the Medieval Warm Period and the Little Ice Age relative to natural instability of thermohaline circulation on multi-decadal and multi-centennial scales. J Quat Sci 24(5):450–456. doi:10.1002/jqs.1291
Hughes MK, Diaz HF (1994) Was there a ‘medieval warm period’, and if so, where and when? Clim Chang 26(2):109–142. doi:10.1007/BF01092410
IPCC (2013) Climate Change 2013 - The Physical Science Basis: Working Group i Contribution to the 5th Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press, Cambridge
Lacasa L, Nuñez A, Roldán E, Parrondo JMR, Luque B (2012) Time series irreversibility: a visibility graph approach Eur Phys J B 85(6). doi:10.1140/epjb/e2012-20809-8
Ljungqvist FC (2010) A new reconstruction of temperature variability in the Extra-Tropical northern hemisphere during the last two millennia. Geogr Ann Ser B Phys Geogr 92(3):339–351. doi:10.1111/j.1468-0459.2010.00399.x
Ljungqvist FC, Krusic PJ, Brattström G, Sundqvist HS (2012) Northern Hemisphere temperature patterns in the last 12 centuries. Clim Past 8(1):227–249. doi:10.5194/cp-8-227-2012
Luque B, Lacasa L, Ballesteros F, Luque J (2009) Horizontal visibility graphs: exact results for random time series Phys Rev E 80(4). doi:10.1103/PhysRevE.80.046103
Luterbacher J, Rickli R, Xoplaki E, Tinguely C, Beck C, Pfister C, Wanner H (2001) The late Maunder minimum (1675–1715)–a key period for studying decadal scale climatic change in Europe. Clim Chang 49(4):441–462. doi:10.1023/A:1010667524422
Luterbacher J, Werner J, Smerdon J, Fernández-Donado L, González-Rouco F, Barriopedro D, Ljungqvist FC, Büntgen U, Zorita E, Wagner S et al (2016) European summer temperatures since Roman times. Environmental Research Letters 11(2):024,001. doi:10.1088/1748-9326/11/2/024001
Mann ME, Zhang Z, Rutherford S, Bradley RS, Hughes MK, Shindell D, Ammann C, Faluvegi G, Ni F (2009) Global signatures and dynamical origins of the Little Ice Age and Medieval Climate Anomaly. Science 326(5957):1256–1260. doi:10.1126/science.1177303
Marcott SA, Shakun JD (2015) Holocene climate change and its context for the future PAGES Magazine Workshop Report, vol 23, p 28
Mayewski PA, Rohling EE, Curt Stager J, Karlén W, Maasch KA, David Meeker L, Meyerson EA, Gasse F, van Kreveld S, Holmgren K, Lee-Thorp J, Rosqvist G, Rack F, Staubwasser M, Schneider RR, Steig EJ (2004) Holocene climate variability. Quat Res 62(3):243–255. doi:10.1016/j.yqres.2004.07.001
McKay NP, Kaufman DS (2014) An extended Arctic proxy temperature database for the past 2,000 years. Sci Data 1:140,026. doi:10.1038/sdata.2014.26
Melvin TM, Grudd H, Briffa KR (2013) Potential bias in ‘updating’ tree-ring chronologies using regional curve standardisation: Re-processing 1500 years of Tornetrask density and ring-width data. The Holocene 23(3):364–373. doi:10.1177/0959683612460791
Miller GH, Geirsdóttir A, Zhong Y, Larsen DJ, Otto-Bliesner BL, Holland MM, Bailey DA, Refsnider KA, Lehman SJ, Southon JR, Anderson C, Björnsson H, Thordarson T (2012) Abrupt onset of the Little Ice Age triggered by volcanism and sustained by sea-ice/ocean feedbacks. Geophys Res Lett 39(2):L02,708. doi:10.1029/2011GL050168
Moberg A, Sonechkin DM, Holmgren K, Datsenko NM, Karlén W (2005) Highly variable Northern Hemisphere temperatures reconstructed from low- and high-resolution proxy data. Nature 433(7026):613–617. doi:10.1038/nature03265
Ortega P, Lehner F, Swingedouw D, Masson-Delmotte V, Raible CC, Casado M, Yiou P (2015) A model-tested North Atlantic Oscillation reconstruction for the past millennium. Nature 523(7558):71–74. doi:10.1038/nature14518
PAGES 2k Consortium (2013) Continental-scale temperature variability during the past two millennia. Nat Geosci 6(5):339–346. doi:10.1038/ngeo1797
Schleussner CF, Divine DV, Donges JF, Miettinen A, Donner RV (2015) Indications for a North Atlantic ocean circulation regime shift at the onset of the little ice age. Clim Dyn 45(11):3623–3633. doi:10.1007/s00382-015-2561-x
Sigl M, Winstrup M, McConnell JR, Welten KC, Plunkett G, Ludlow F, Büntgen U, Caffee M, Chellman N, Dahl-Jensen D, Fischer H, Kipfstuhl S, Kostick C, Maselli OJ, Mekhaldi F, Mulvaney R, Muscheler R, Pasteris DR, Pilcher JR, Salzer M, Schüpbach S, Steffensen JP, Vinther BM, Woodruff TE (2015) Timing and climate forcing of volcanic eruptions for the past 2,500 years. Nature 523(7562):543–549. doi:10.1038/nature14565
Steinhilber F, Beer J, Fröhlich C (2009) Total solar irradiance during the Holocene, Geophys Res Lett vol 36 19. doi:10.1029/2009GL040142
Stothers RB (1984) Mystery cloud of AD 536. Nature 307(5949):344–345. doi:10.1038/307344a0
Strogatz SH (2014) Nonlinear dynamics and chaos: With applications to physics, biology, chemistry and engineering. Westview Press, Boulder
Tiljander M, Saarnisto M, Ojala AEK, Saarinen T (2008) A 3000-year palaeoenvironmental record from annually laminated sediment of Lake Korttajarvi, central Finland. Boreas 32(4):566–577. doi:10.1111/j.1502-3885.2003.tb01236.x
Trouet V, Esper J, Graham NE, Baker A, Scourse JD, Frank DC (2009) Persistent positive north atlantic oscillation mode dominated the medieval climate anomaly. Science 324(5923):78–80. doi:10.1126/science.1166349
Wanner H, Beer J, Bütikofer J, Crowley TJ, Cubasch U, Flückiger J, Goosse H, Grosjean M, Joos F, Kaplan JO, Küttel M, Müller SA, Prentice IC, Solomina O, Stocker TF, Tarasov P, Wagner M, Widmann M (2008) Mid- to Late Holocene climate change: an overview. Quat Sci Rev 27(19):1791–1828. doi:10.1016/j.quascirev.2008.06.013
Weiss G (1975) Time-reversibility of linear stochastic processes. J Appl Probab 12(4):831–836. doi:10.2307/3212735
Acknowledgments
This work has been financially supported by the German Federal Ministry for Education and Research (BMBF) via the BMBF Young Investigators Group “CoSy-CC2 - Complex Systems Approaches to Understanding Causes and Consequences of Past, Present and Future Climate Change” (grant no. 01LN1306A) and the bilateral German-Norwegian project “Nonlinear variability and regime shifts in Late Holocene climate: regional patterns and inter-regional linkages in multi-proxy networks and climate simulations” jointly funded by the German Academic Exchange Service (DAAD project no. 57245873) and the Research Council of Norway. The authors thank Johannes Werner and Saija Saarni for fruitful discussions and the anonymous reviewers of this manuscript for helpful suggestions to improve its overall presentation. The data used in this study have been kindly provided by PAGES 2k, Saija Saarni and Jan Esper. Calculations have been performed with the help of the Python packagepyunicorn (Donges et al.2015b).
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Potsdam Institute for Climate Impact Reserach, Telegrafenberg A56, 14473, Potsdam, Germany
Jasper G. Franke & Reik V. Donner
Humboldt University of Berlin, Berlin, Germany
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Franke, J.G., Donner, R.V. Dynamical anomalies in terrestrial proxies of North Atlantic climate variability during the last 2 ka.Climatic Change143, 87–100 (2017). https://doi.org/10.1007/s10584-017-1979-z
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