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Clim.Past,11,709–741,2015 www.clim-past.net/11/709/2015/ doi:10.5194/cp-11-709-2015 ©Author(s)2015.CCAttribution3.0License. Non-linear regime shifts in Holocene Asian monsoon variability: potential impacts on cultural change and migratory patterns J.F.Donges1,2,R.V.Donner1,3,N.Marwan1,S.F.M.Breitenbach4,*,K.Rehfeld1,5,andJ.Kurths1,6,7 1PotsdamInstituteforClimateImpactResearch,TelegrafenbergA31,14473Potsdam,Germany 2StockholmResilienceCentre,StockholmUniversity,Kräftriket2B,11419Stockholm,Sweden 3DepartmentofBiogeochemicalIntegration,MaxPlanckInstituteforBiogeochemistry,Hans-Knöll-Str.10, 07745Jena,Germany 4InstituteforGeology,MineralogyandGeophysics,RuhrUniversityBochum,Universitätsstr.150,44801Bochum,Germany 5AlfredWegenerInstituteforPolarandMarineResearch,TelegrafenbergA43,14473Potsdam,Germany 6DepartmentofPhysics,HumboldtUniversity,Newtonstr.15,12489Berlin,Germany 7InstituteforComplexSystemsandMathematicalBiology,UniversityofAberdeen,Aberdeen,AB243FX,UK *formerlyat:GeologicalInstitute,DepartmentofEarthSciences,ETHZurich,8092Zurich,Switzerland Correspondenceto:J.F.Donges([email protected]) Received:10February2014–PublishedinClim.PastDiscuss.:6March2014 Revised:1March2015–Accepted:2March2015–Published:7May2015 Abstract. The Asian monsoon system is an important tip- changes in mean monsoon intensity and other climatic pa- ping element in Earth’s climate with a large impact on hu- rameters, regime shifts in monsoon complexity might have man societies in the past and present. In light of the poten- playedanimportantroleasdriversofmigration,pronounced tiallysevereimpactsofpresentandfutureanthropogeniccli- culturalchanges,andthecollapseofancienthumansocieties. mate change on Asian hydrology, it is vital to understand theforcingmechanismsofpastclimaticregimeshiftsinthe Asian monsoon domain. Here we use novel recurrence net- work analysis techniques for detecting episodes with pro- 1 Introduction nounced non-linear changes in Holocene Asian monsoon dynamics recorded in speleothems from caves distributed Relationships between past climate change and societal re- throughoutthemajorbranchesoftheAsianmonsoonsystem. sponsesinthehistoricalandarchaeologicalrecordhavefre- Anewlydevelopedmulti-proxymethodologyexplicitlycon- quently been reported, e.g. increased frequencies of war siders dating uncertainties with the COPRA (COnstructing (Zhang et al., 2007), societal conflicts and crises (Hsiang Proxy Records from Age models) approach and allows for etal.,2011,2013;Zhangetal.,2011),migrations(Büntgen detection of continental-scale regime shifts in the complex- et al., 2011), and collapse of complex societies such as the ity of monsoon dynamics. Several epochs are characterised Akkadian empire (Gibbons, 1993; Cullen et al., 2000), the bynon-linearregimeshiftsinAsianmonsoonvariability,in- EgyptianOldKingdom(Stanleyetal.,2003),Mayanurban cluding the periods around 8.5–7.9, 5.7–5.0, 4.1–3.7, and centres(Haugetal.,2003;Kennettetal.,2012),andChinese 3.0–2.4kaBP. The timing of these regime shifts is consis- dynasties (Yancheva et al., 2007). Those societal responses tentwithknownepisodesofHolocenerapidclimatechange are generally acknowledged to be driven by multiple fac- (RCC) and high-latitude Bond events. Additionally, we ob- tors and, additionally, societies differ in their vulnerability serve a previously rarely reported non-linear regime shift to changing environmental conditions (Tainter, 1990). Nev- around7.3kaBP,atimingthatmatchesthetypical1.0–1.5ky ertheless,investigatingclimateasonepossiblekeydriveris return intervals of Bond events. A detailed review of previ- of great interest in the face of recent anthropogenic climate ouslysuggestedlinksbetweenHoloceneclimaticchangesin change(Stockeretal.,2014).Deeperinsightsinthisfieldare theAsianmonsoondomainandthearchaeologicalrecordin- urgently needed to assess theadaptive capacity and dynam- dicatesthat,inadditiontopreviouslyconsideredlonger-term icsofcurrentsocieties(Widloketal.,2012)underglobalen- PublishedbyCopernicusPublicationsonbehalfoftheEuropeanGeosciencesUnion. 710 J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability vironmental change within the co-evolving planetary socio- environmentalsystem(Schellnhuber,1998,1999). In our contribution here, we focus on regime shifts in 30°N Jiuxian Tianmen Heshang Asian summer monsoon dynamics during the last 10ky Lianhua and discuss their potential societal impacts such as cultural Hoti Mawmluh Dongge change or migratory patterns. Investigating the Asian mon- 15°N Qunf EASM soondomainisrelevantforthreereasons:(i)theAsianmon- Dimarshim BB S soon is a highly dynamic, vulnerable, and multistable sys- A theams b(eZeinckifdeeldntiefitedal.a,s2a00p5o;teLnteivaelrcmliamnnatiecttiaplp.,in2g00e9le)mthenatt 0 45°E 60°E 75°E 90°E 105°E 12A0°IES M 135°E (Lentonetal.,2008),(ii)ca.60%oftheworld’spopulation Liang Luar are directly affected by the Asian monsoon, the failures of Figure1.MapofsouthernAsiashowingthemainflowdirections which have large potential consequences for food supply in of moist air masses associated with different monsoon branches: these regions (Wu et al., 2012), and (iii) there are multiple Arabian Sea (AS) and Bay of Bengal (BB) branches of the In- knownexamplesforthecollapseofearlycomplexsocieties diansummermonsoon,EastAsiansummermonsoon(EASM),and intheAsianmonsoonrealm,includingtheHarappanculture Australian–Indonesiansummermonsoon(AISM).Furthermore,the in the Indus Valley (Staubwasser and Weiss, 2006), and ex- locations of the caves where the speleothem records used in this amples of the impact of climate change on socio-political workhavebeenobtainedfromaredisplayed(seeTable1). developments, e.g. war frequencies or dynastic changes in China (Zhang et al., 2007; Yancheva et al., 2007). Thus, a deeper understanding of past changes in Asian monsoon presentstudyisarobustchronologyoftheincludedarchives, dynamicsandtheirimpactonsocietieswillcontributetoim- a requirement that is met by many speleothem records. Fo- provedcapacitiesforanticipatingpotentialconsequencesof cussingononetypeofarchiveandproxy,thisworkextends futureclimatechangeintheregion. upon and complements several related re-assessment stud- TheAsiansummermonsoonsystemisaseasonallyrecur- ies (Morrill et al., 2003; Hu et al., 2008; Maher, 2008; Re- ring wind pattern related to the migration of the Intertrop- hfeld et al., 2013). In contrast to earlier work, we focus not ical Convergence Zone and is active from June to October. only on the intensity of monsoon rainfall per se, but aim to It is nominally separated into the Indian summer monsoon identifychangesinthecomplexityofmonsoonvariationsas (ISM) and the East Asian summer monsoon (EASM). The important higher-order information contained in the avail- ISMisdividedintotheArabianSea(AS)branchandtheBay ablerecords.Therationalebehindthisapproachisthatreg- of Bengal (BB) branch, which transport moisture from the ular and, thus, predictable monsoon variations are crucial IndianOceantowardstheArabianPeninsulaandtheIndian for sustained socio-economic development, while irregular subcontinentduringthesummerwetseason(Fig.1).TheAS variationsofseasonalrainfallandclimaticinstabilitieshave branchreachesNEAfricaandtheArabianPeninsulabefore been shown to have acted as triggers for social unrest and turningeasttowardsthewestcoastofIndia.TheBBbranch as drivers of societal changes (Hsiang et al., 2013). There- of the ISM receives much of its moisture from the Arabian fore,identifyingepochsofregimeshiftsinthecomplexityof Sea,crossessouthernIndia,andreloadsovertheBayofBen- palaeoclimaticvariabilityisofgreatinterestforinvestigating galbeforemovingnorthwarduntilitreachestheHimalayan the role of Asian summer monsoon dynamics as a potential mountainrange.Unabletocrossthisbarrier,itsplitsintotwo driverofculturalchangeormigratorypatternsinthehuman branches,onemovingnorth-westwardalongtheHimalayas, realm. theotherextendingnorth-eastwardintoTibetandtherestof Fromamethodologicalpointofview,thisworkintroduces China, where it contributes greatly to summer rainfall. The several new aspects to the study of palaeoclimate variabil- EASMtransportsmoisturefromtheadjacentseasintoChina ity: (i) we focus on non-linear aspects of monsoon dynam- andalsoontotheTibetanPlateau.Complexandtime-varying ics such as regime shifts in the regularity of monsoon vari- interdependencies have been demonstrated to exist between ations, extending upon previous work on climatic regime thedifferentbranchesoftheAsiansummermonsoonsystem shifts in linear time series properties (Mudelsee, 2000; Ro- duringthelateHolocenebasedonpalaeoclimatedata(Feld- dionov,2004)suchasmeanmonsoonintensity.Themethod hoff et al., 2012; Rehfeld et al., 2013) as well as during the of choice, recurrence network (RN) analysis of time series, periodofinstrumentalobservations(Bakeretal.,2015). isparticularlyusefulfordetectingqualitativechangesinthe Our approach is to integrate information on decadal- to dynamics of complex systems (Marwan et al., 2009; Don- centennial-scaleAsianpalaeomonsoonvariabilityduringthe neretal.,2010b)andhasbeensuccessfullyappliedinfields Holocenefromhigh-resolutionoxygenisotoperecordsfrom rangingfromfluiddynamicstoelectrochemistrytophysiol- multiplecaves,asspeleothemsarerecognisedashigh-quality ogy(Donneretal.,2014).RNanalysisisspecificallysuitable palaeoclimatearchivesfortheconsideredtimescalesandge- for studying palaeoclimate records – unlike other methods ographical region (Table 1). Of special importance for the thereareonlyimpliciteffectsofnon-uniformsamplinginthe Clim.Past,11,709–741,2015 www.clim-past.net/11/709/2015/ J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability 711 Table1.Listofspeleothemδ18Ooxygenisotoperecordsusedinthisstudyincludingcavename,speleothemID,cavelocation,numberof datapointsN,averagesamplingtime(cid:104)(cid:49)T(cid:105),andclimatologicalinterpretation(IOM,IndianOceanmonsoon;ISM,Indiansummermonsoon; EASM, East Asian summer monsoon; AISM, Australian–Indonesian summer monsoon. From the Mawmluh record, all data points prior to 9kaBP were discarded, since the older part of the record was recently found to be insufficiently dated (M. Berkelhammer, personal communication,2013). Cavename Speleothem Latitude Longitude N (cid:104)(cid:49)T(cid:105) Interpretation Reference (years) 1 Dimarshim,Yemen D1 12◦33(cid:48)N 53◦41(cid:48)E 530 8.3 IOMstrength Fleitmannetal.(2007) 2 Qunf,Oman Q5 17◦10(cid:48)N 54◦18(cid:48)E 1412 7.3 IOMstrength Fleitmannetal.(2003,2007) 3 Hoti,Oman H5 23◦05(cid:48)N 57◦21(cid:48)E 832 4.3 IOMstrength Neffetal.(2001) 4 Mawmluh,India KM-A 25◦16(cid:48)N 91◦53(cid:48)E 889 6.0 ISMstrength Berkelhammeretal.(2012) 5 Tianmen,Tibet,China TM-18 30◦55(cid:48)N 90◦40(cid:48)E 1005 4.9 ISMstrength Caietal.(2012) 6 Dongge,China DA 25◦17(cid:48)N 108◦5(cid:48)E 2124 4.2 EASMstrength Wangetal.(2005) 7 Lianhua,China A1 29◦29(cid:48)N 109◦32(cid:48)E 819 8.1 EASMstrength Cosfordetal.(2008) 8 Heshang,China HS4 30◦27(cid:48)N 110◦25(cid:48)E 1223 7.8 EASMstrength Huetal.(2008) 9 Jiuxian,China C996-1 33◦34(cid:48)N 109◦6(cid:48)E 828 10.5 EASMstrength Caietal.(2010) 10 LiangLuar,Indonesia LR06-B1 8◦32(cid:48)S 120◦26(cid:48)E 1289 9.7 AISMstrength Griffithsetal.(2009) time domain and minor dating uncertainties (Donges et al., Our results on qualitative changes in monsoon dynamics as 2011a, b). (ii) We study continental-scale climatic changes recorded in speleothem records are reported in Sect. 4 and through the integration of information from proxy records arediscussedinthecontextofpotentialimpactsoncultural frommultiple(Table1)sitesdistributedovertheAsianmon- changeandmigratorypatternsinSect.5.Finally,conclusions soon domain (Rehfeld et al., 2013). (iii) We explicitly con- aredrawninSect.6. sider and propagate dating uncertainties (Mudelsee et al., 2012; Goswami et al., 2014) in the available cave records 2 Dataandmethods usingtheCOPRAframework(COnstructingProxyRecords fromAgemodels,Breitenbachetal.,2012b),and(iv)weem- In this section, we explain the selection of palaeoclimate ploystatisticaltestsfortheco-occurenceofthesignaturesof records that are suitable for studying the stability of Asian monsoonalregimeshiftsatdifferentsites. monsoon dynamics during the Holocene within the frame- Applying this methodology, we find that previously re- workofthepresentedanalyticalstrategy.Specifically,weare ported high-latitude Bond events (Bond et al., 1997, 2001) interested in shifts in the dynamic regime beyond changes andrapidclimatechange(RCC)episodes(Mayewskietal., inmeanintensityduringthelastabout10ka,whichcallfor 2004; Fleitmann et al., 2008; Wanner et al., 2008, 2011) high-resolution(i.e.sub-decadal)recordsspanningasmuch wereoftenaccompaniedbyepochsoflarge-scalenon-linear oftheHoloceneaspossible.Subsequently,themethodology regimeshiftsinmonsoondynamics,e.g.pronouncedchanges employed for quantitatively evaluating the effects of irreg- in the regularity of interannual to inter-decadal monsoon ular sampling and dating uncertainties, both common prob- variations. Furthermore, we are able to robustly identify at lems in time series analysis of palaeoclimate records, is in- least one previously rarely reported regime shift in Asian troduced.Recurrenceanalysisisthenpresentedasourstatis- summer monsoon dynamics during the Holocene (Wang ticaltechniqueofchoicefordetectingepochsofregular(sta- et al., 2005), which manifests itself as an epoch of signif- bleorperiodic)andmore-erratic(andhencelesspredictable) icantly increased regularity of monsoon variations around dynamics as well as transitions between such episodes in 7.3kaBP when considering dating uncertainties with the palaeomonsoon variability. See Fig. 2 for a summary of the COPRA approach. Examining our results in context with a methodologicalworkflowemployedinthisstudy. thorough review of the previously reported archaeological record,wefindthatsomeofthedetectedepochsofnon-linear 2.1 SpeleothemrecordsoftheAsianpalaeomonsoon regimeshiftsinAsiansummermonsoondynamicsmayhave contributed to triggering major periods of migration, pro- Temporallywell-resolvedandpreciselyandaccuratelydated nouncedculturalchanges,andthecollapseofancienthuman proxy records of palaeoclimate variability are indispens- societiesinAsia. able for the study of spatially and temporally disperse This article is structured as follows: after introducing decadal- to centennial-scale climatic episodes. Speleothems the data and methods used (Sect. 2), an overview is pro- (secondarycavedepositssuchasstalagmites)constituteter- vided on possible imprints of Holocene RCC episodes and restrial archives potentially covering several hundred thou- Bond events within the Asian monsoon system (Sect. 3). sand years of environmental variability. Current U–Th dat- ing techniques allow the establishing of robust age models www.clim-past.net/11/709/2015/ Clim.Past,11,709–741,2015 712 J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability backto600–800kaBP(Chengetal.,2013).Stalagmitesfre- The record database includes speleothem data from the quently allow for high-resolution sampling at sub-decadal Arabian Peninsula (influenced by the AS), India, and Tibet andevensub-annualscales(Johnsonetal.,2006).Stalagmite (mainly under the influence of the BB), and eastern China records offer a multitude of geochemical and petrographic (with governing EASM) (Fig. 1). One additional record proxies(e.g.oxygenandcarbonstableisotoperatios,major (Liang Luar cave) from Indonesia has also been included, andminorelementratiosandconcentrations,andfluidinclu- as this record indicates that the climatic episodes and tran- sionwaterisotopes;FairchildandBaker,2012),thoughoften sitionsdiscussedbelowarefoundalsointheAISMdomain. onlystableisotoperatiosareusedtoinferchangesinrainfall TheselectedproxyrecordsarelistedinTable1togetherwith amount,source,orintensity. information on sampling location, the number of samples, Availablelacustrine(e.g.Pontonetal.,2012)andmarine temporalresolution,andtheirinterpretationandcorrespond- (vonRadetal.,1999;Kudrassetal.,2001;Staubwasserand ingreferences. Weiss,2006)sedimentrecordsfromthesouthernAsiando- Many speleothem records, especially those from China, main – although valuable for the study of long-term trends havebeenreportedoverthelastdecadegivingdeepinsights and millennial- to centennial-scale climate episodes – often intothehistoryoftheEASM(Wangetal.,2005,2008;Dong lackbothsufficientlyhighsamplingratesandchronological etal.,2010)foruptoapproximatelythepast380ky(Cheng controltoallowstatisticallysignificantcomparisonofmulti- et al., 2009). Unfortunately, only a few terrestrial records ple reconstructions at decadal timescale. Available ice core are available so far from the Indian subcontinent that meet records from the Himalaya and Tibet regions (Thompson our criteria (Sinha et al., 2005, 2007, 2011a, b; Berkelham- et al., 1997, 2000, 2003) are unfortunately either too short meretal.,2010,2012).Theavailableproxyreconstructions (coveringonlythepastfewthousandyears)orlackalsotem- fromIndianstalagmitesreflectchangesinthestrengthofthe poralresolution.Treeringscangenerallyaddvaluableinfor- ISM,buttheyalsoshowregionalvariabilityinISMdynam- mation for reconstructing moisture and/or temperature dy- ics.SuchdifferencesreflectthecomplexityoftheISMover namics(Cooketal.,2010;Borgaonkaretal.,2010;Treydte India,ratherthancontradictingthegeneralunderstandingof etal.,2006,2009).However,veryfewrecordsfromAsiaex- ISMdynamics(Breitenbachetal.,2012a).Theinfluenceof tend beyond the last 1000 years and, thus, these cannot be theISMondifferentregionsinIndiahasbeennotedbymete- usedtostudyqualitativechangesofmonsoondynamicsover orologicalaswellaspalaeoclimaticstudies(HoyosandWeb- thecourseoftheHolocene,whicharethefocusofthisstudy. ster, 2007; Sinha et al., 2011b; Rehfeld et al., 2013). Moni- Given the considerable number and reasonable spatial toringofrainwaterinNEIndiarevealsthatitsisotopiccom- distribution of available high-resolution speleothem records position(δ18O )dependsnotsimplyontheamountofrain- rw from the Asian monsoon domain, and for permitting bet- fall, but also on moisture source changes such as increased ter comparability of the results to be obtained, in this study melt water flux, the pathway length that an air mass moves we restrict our attention to such cave archives. Specifi- from the source to the sampling site and related Rayleigh cally,weselectpublishedspeleothemoxygenisotope(δ18O) fractionation,andchangesoftheisotopiccompositionofthe proxy records from the Asian monsoon domain that fulfil source (Breitenbach et al., 2010). Still, a clear ISM signal the following criteria: (i) coverage of a significant part of is detected, whichallows us to use oxygenisotope ratios as the Holocene (at least several thousand years), (ii) at least tracersforISMintensity. decadal resolution (i.e. a resolution of 10 years would re- SeveralrecordsareavailablefromtheArabianSearealm sultin100datapointspermillennium–areasonablenumber (Qunf, Hoti, and Dimarshim caves, Table 1, Fig. 1). These forobtainingreliablestatistics–whichisaboutthecoarsest areinterpretedasreconstructionsoftheArabianSeabranch scaleonwhichweexpectthedynamicalregimeshiftsstudied oftheISM(Neffetal.,2001;Fleitmannetal.,2003,2007). inthisworktobedetectable),and(iii)withageuncertainties However, these records might not be representative for the nogreaterthanafewcenturies(RehfeldandKurths,2014). dynamicsoftheISMovertheIndiansubcontinent,andaddi- Theserequirementsarenecessarytoreliablydetectshiftsin tionalrecordsmustberecoveredforbetterspatialcoveragein thedynamicalregimes(i.e.thenon-linearvariability)ofthe theheartoftheISMdomain.ThestalagmitefromIndonesia Asiansummermonsoonbeyondsimplechangesinamplitude (Griffithsetal.,2009)representsthetropicalAsianmonsoon orvariance.Inthecaseofmultiplerecordsfromthesamesite domainandisusedforcomparisontoexamineourresultsin (i.e. multiple speleothems from the same cave), we choose thebroaderclimatologicalcontext. thedatasetwiththehighesttemporalresolutionandlongest time interval covered. Furthermore, we discard other types 2.2 Treatmentofuncertaindepth–agemodels ofproxies,suchasδ13C,greyscalevalues,etc.availablefor somerecords,toobtainaconsistentdatabaseincludingonly Chronologiesforthepalaeoclimateproxyrecordsusedinthis one variable (which may however be interpreted differently study have been established by means of U series dating. in different regions, see below). Other types of records are The associated depth–age models are usually obtained by considered for comparison in the discussion of our results interpolationbetweenthedatingpoints.However,radiomet- whereverappropriate. ricdatingscomewithuncertainties,suggestingthatdifferent Clim.Past,11,709–741,2015 www.clim-past.net/11/709/2015/ J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability 713 Earth system Speleothem A g e 1 7 Graph theoretical analysis 2 Proxy record B) 6 D P V Recurrence network ‰ O ( 18δ Age (ka BP) 3 5 4.0 3.8 P) a B 3.6 k ge ( 3.4 A Z 3.2 4 3.0 X 3.0 3.2 3.4 3.6 3.8 4.0 Age (ka BP) Y Recurrence plot Phase space trajectory Figure 2.Workflowofrecurrencenetworkanalysisofpalaeoclimaterecords(herefromspeleothems).Step1indicatesthedepositionof chemical or physical information on past climate fluctuations in growing speleothems. In step 2, this information is extracted from the speleothem in the form of a proxy record (here, the Dongge DA δ18O record; Wang et al., 2005, is used as an example). Subsequently, instep3,asectionoftheobtainedproxyrecord(selectedtimeintervalindicatedbygreybar)isembeddedinphasespacetounravelthe fluctuationsinducedbyvariationsofthemultiplicityofdifferentrelevantclimaticparameters.Insteps4and5,thestructureofrecurring palaeoclimatestatesintheproxyrecordisrepresentedasarecurrenceplotandrecurrencenetwork(nodecolourindicatesageofpalaeoclimate statesincreasingfromred(younger)toblue(older)),respectively.Instep6,thestructureoftherecurrencenetworkcorrespondingtoacertain epochisquantifiedbygraph-theoreticalmeasuressuchastransitivityT oraveragepathlengthL.Finally,thisanalysisprovidesinsightsinto non-linearpalaeoclimatevariabilitythatcanbeinterpretedtakingtheunderlyingEarthsystemdynamicsintoaccountinstep7.Theoriginal contributionofthisstudyliesinsteps3–7. www.clim-past.net/11/709/2015/ Clim.Past,11,709–741,2015 714 J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability chronologiesmightbevalidfortheproxyrecordinquestion 0 (Telfordetal.,2004;BuckandMillard,2004;Blaauw,2010). 40 Moreover,intercomparisonbetweenproxyrecordswithdif- 100 ferentdatingstrategies(and,hence,timescaleuncertainties) 60 200 anddifferentnon-uniformsamplingsdemonstratesthatcon- sidering a single depth–age model limits the reliability of p) 300 80 o all results. Therefore, we use the recently introduced CO- m t PRA framework for the calculation of ensembles of con- o 400 100 r sistent chronologies (depth–age models) for the used proxy m f 500 0.5 1 records (Breitenbach et al., 2012b). This strategy allows er- m rorpropagationthroughsubsequentstatisticaltreatmentsand h ( 600 comparisonsofmultiplerecords. pt Within COPRA, dating uncertainties are considered by De 700 a Monte Carlo (MC) simulation. To obtain an ensemble of 800 agemodels,firstarandomnumberdrawnfromanormaldis- tributionofthestandarddeviationasgivenbythe1σ errorof 900 thedatingisaddedateachindividualdatingpoint.Apiece- wise interpolation is then applied on these modified dating 1000 0 2 4 6 8 10 pointstoobtainagesforallproxydatapoints.Thisprocedure Age (ka BP) isrepeated100times(MCsimulation)producinganensem- ble of 100 possible age models (Fig. 3), where inconsistent Figure3.Exemplarydepth–agemodelfortheDonggeDArecord (Wang et al., 2005) represented as an ensemble of 1000 different realisationsviolatingthestratigraphicconstraintarerejected chronologies.Theinsetshowsanenlargedviewofaspecifictime beforehand. In the next step, these age models are used to interval illustrating the spread of depth–age models due to dating interpolatethemeasuredproxyvaluestoanequidistanttime uncertainties. Discrete dating points are indicated by black dots, axis(regularsampling),resultinginadistributionofpossible whiletheassociated2σ datinguncertaintiesaredisplayedbyerror proxyvaluesateachgiven(orrequired)timepoint.Nowthe bars. time axis is a truly absolute and comparable reference sys- temforalldifferentproxyrecordsbecausetheuncertainties withinthetimedomainaretransferredtouncertaintiesinthe proxydomain(Breitenbachetal.,2012b). ofinformationonthedynamicalsystemunderstudyandcan Notethatinterpolatingtheproxysignaltoanabsolutetime bemathematicallyrepresentedandquantifiedbyrecurrence axis is a post-processing step particular to this study that is plots(Marwanetal.,2007)orrecurrencenetworks(Marwan not included in the COPRA framework by default. It is in- etal.,2009;Donneretal.,2010b,2011;Dongesetal.,2012) troduced here to additionally test the robustness of the re- (seeFig.2). sults of recurrence analysis obtained below with respect to Recurrenceanalysishasbeensuccessfullyappliedtoanal- the effects of irregular sampling displayed by the available yse climatological and palaeoclimatological data, e.g. for proxyrecords.Hence,inSect.4wewillcomparetheresults aligning the timescales of rock magnetic data from sedi- obtained from the original irregularly sampled records with mentcores(Marwanetal.,2002)andsearchingforrelation- thosecomputedfromtheCOPRAensemblesignalsthathave shipsbetweentheElNiño–SouthernOscillation(ENSO)and beeninterpolatedtoaregularlysampledreferenceframe. South American palaeoprecipitation (Marwan et al., 2003; Trauth et al., 2003). Recently and relevant to this study, it has been shown that recurrence network analysis (Marwan 2.3 Recurrenceanalysis etal.,2009;Dongesetal.,2011a,b;Marwanetal.,2013)and Recurrence analysis comprises a class of non-linear meth- relatedtechniques(Maliketal.,2012)areparticularlywell- ods of time series analysis that are sensitive to dynamical suitedfordetectingsubtlequalitativechangesinthedynam- features beyond what can be captured by commonly used ics recorded by palaeoclimate proxy series with relatively linear statistics, such as power spectra and auto- or cross- fewdatapoints(comparedtotypicalexperimentalandmod- correlationfunctions(Marwanetal.,2007).Itisbasedonthe ernobservationaltimeseries).Inthisstudy,weareinterested fundamental observation that dynamical systems in nature intransitionsornon-linearregimeshiftsinclimatevariability tend to recur close to their previously assumed states after that are characterised by pronounced changes in dynamical afinitetime(Poincaré,1890).Forexample,theweatherob- complexity, i.e. changes between regular and rather erratic servations(temperature,precipitation,pressure,etc.)madeat climatevariations(Dongesetal.,2011b).Wearguethatthese somemeteorologicalstationonagivendaymaybeverysim- transitionsaresubtleinthesensethattheycannotalwaysbe ilar, but not the same, as those recorded a few years earlier. easilyandunambiguouslyidentifiedbyvisualinspection,de- Thetemporalstructureoftheserecurrencescontainsawealth spitecontradictingclaims(Wunsch,2007). Clim.Past,11,709–741,2015 www.clim-past.net/11/709/2015/ J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability 715 Sinceweareinterestedinthecomplexityofmonsoonfluc- tuationsduringtheHoloceneondecadaltocentennialscales, ratherthanmillennialandlonger-termtrends,wedetrendthe 1.0 proxy records using a 1000-year running window (Donges 0 -1.0 et al., 2011a) and study the residual oxygen isotope sig- 1.0 nals (cid:49)δ18O as a time series {x }N (Fig. 4). Below, we de- i i=1 0 scribetheanalyticaltechniquesusedfordetectingandquan- -1.0 tifyingqualitativechangesinHolocenemonsoondynamics, 1.0 0 namelytime-delayembeddingandrecurrencenetworkanal- -1.0 ysis.Generally,weapplythesameanalysisstepstoboththe 1.0 original irregularly sampled proxy records and the interpo- 0 lated COPRA ensemble signals. Minor methodological ad- -1.0 2.0 justmentsarenotedbelowwhereverappropriate.Theanalyt- 0 icalworkflowemployedinthisstudyisvisualisedinFig.2. -2.0 1.0 2.3.1 Time-delayembedding 0 2.0 The palaeoclimate records that we use in this study are 0 univariate (cid:49)δ18O time series containing information on -1.0 the impacts of different relevant variables from the higher- 1.0 0 dimensional climate system in the recording archive. For -1.0 example, an oxygen isotope record may be dominated by 2.0 a precipitation amount signal, but precipitation co-evolves 0 -2.0 and is coupled with many other variables such as tempera- ture, wind strength, and moisture source (Lachniet, 2009). 0.5 0 For performing a meaningful recurrence analysis, the time -0.5 evolutionofthehigher-dimensionalunderlyingclimatesys- temneedstobereconstructedfromtheavailabledata(Mar- wan et al., 2007). Under quite general assumptions (Tak- Figure4.Residualoxygenisotoperecords(cid:49)δ18Oanalysedinthis ens,1981;KantzandSchreiber,2004),thiscanbeachieved study (all measured in units of ‰ VPDB). The original records through time-delay embedding of a given detrended record listed in Table 1 have been detrended using a 1000-year moving {x }N (seestep3inFig.2).Forobtainingthereconstructed window(asinDongesetal.,2011a).Bondevents(violetlines,Bond i i=1 trajectory etal.,1997)andRCCepisodes(greybars,Mayewskietal.,2004) aredisplayedforreference. yi =(xi,xi+τ,...,xi+(m−1)τ), (1) theparametersembeddingdelayτ andembeddingdimension mhavetobechosenasfreeparameters. Table 2. Decorrelation time τd of speleothem oxygen isotope recordsdeterminedasthefirstzero-crossingoftheauto-correlation Foreachrecord,wesettheembeddingdimensiontom=3 function(ACF).TheACFwascomputedfromthedetrendedtime asatrade-offbetweenresultsofthefalsenearestneighbours seriesusingaGaussiankernelestimatorappliedtotheoriginalir- criterionindicatingtheminimumnumberofdynamicallyrel- regularly sampled records (kernel bandwidth h=(cid:104)(cid:49)T(cid:105)/4 as sug- evantsystemvariables(Kenneletal.,1992)andtherelatively gestedbyRehfeldetal.,2011).Asliding-windowdetrendingwas small number N of available data points (Table 1). Moder- appliedwitha1000-yearbandwidthforallrecords. atelyincreasingmtypicallyleadstoqualitativelysimilar,yet statisticallylessreliableresults(Dongesetal.,2011a). Cavename Decorrelationtimeτd(years) Theembeddingdelayischosentoequalthedecorrelation 1 Dimarshim,Yemen 100 timescale τ (Table 2), hereafter defined as the first zero- d 2 Qunf,Oman 216 crossingoftheauto-correlationfunction,inunitsoftheaver- 3 Hoti,Oman 57 agesamplingtime(cid:104)(cid:49)T(cid:105),i.e.τ =(cid:98)τ /(cid:104)(cid:49)T(cid:105)(cid:99)(Dongesetal., d 4 Mawmluh,India 146 2011a),where(cid:98)x(cid:99)denotesthelargestintegernotlargerthan 5 Tianmen,Tibet,China 90 x.Onetechnicalprobleminproperlydeterminingthisvalue 6 Dongge,China 185 is that proxy records, like the original speleothem records 7 Lianhua,China 193 discussedhere,aregenerallycharacterisedbyirregularsam- 8 Heshang,China 60 pling. This either requires an interpolation of the data (pos- 9 Jiuxian,China 73 sibly leading to biased results, cf. Rehfeld et al., 2011) or 10 LiangLuar,Indonesia 135 specificmethodswhichareabletocopewithsuchirregular www.clim-past.net/11/709/2015/ Clim.Past,11,709–741,2015 716 J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability bustwithrespecttovariationsinbothwindowandstepsize (Dongesetal.,2011a). Decorrelation time For each window, we build a recurrence network (RN) from the corresponding set of state vectors (Marwan et al., 2009; Donner et al., 2010b; Donges et al., 2012) (steps 4 and 5 in Fig. 2). Nodes of this network (Boccaletti et al., 2006; Newman, 2010; Cohen and Havlin, 2010) represent state vectors y from the reconstructed climate trajectory, i whilelinksareestablishedbetweenstatevectorsthatarere- current, i.e. closer to each other in the phase space of the reconstructed variables than a prescribed threshold distance ε. Formally, the RN is represented by its adjacency matrix (which can be alternatively visualised as a recurrence plot, cf.Fig.2): (years) Aij =(cid:50)(ε−(cid:107)yi−yj(cid:107))−δij. (2) Figure 5. Auto-correlation function (ACF) for the Dongge resid- Here,(cid:50)(·)istheHeavisidefunction,(cid:107)·(cid:107)denotesthesupre- ual oxygen isotope record (black solid line) computed using the mum norm, and δij is Kronecker’s delta ensuring that state GaussiankernelestimatorbyRehfeldetal.(2011)andRehfeldand vectors are not connected to themselves forming self-loops Kurths(2014)aftersubtractingmillennial-scaletrendsbymeansof in the RN (Donner et al., 2010b). Following generally sug- asliding-windowdetrendingwithabandwidthof1000years.The gested good practice for recurrence network analysis (Don- effectofdatinguncertaintiesisillustratedbythefullspreadofauto- neretal.,2010a;Marwan,2011;Dongesetal.,2012;Eroglu correlationateachtimedelayobtainedfromtheregularlysampled etal.,2014),thethresholddistanceεisadaptivelychosenfor Dongge COPRA ensemble (Sect. 2.2) using a standard ACF esti- eachwindowtoensurethatapproximately5%ofalltheoret- mator (grey shading, Brockwell and Davis, 2006). The decorrela- icallypossiblelinksarepresentinthenetwork. tiontimeinferredusingtheGaussiankernelestimatorisindicated The RN’s structure contains information on climate dy- byaverticalline. namicsduringthetimeintervalcoveredbythecorresponding window.Weusethestatisticalnetworkquantifierstransitiv- ityT andaveragepathlengthLtocapturethisinformation, samplingforestimatingcorrelationfunctions(Scargle,1989; which can be interpreted as measures of climate regularity BabuandStoica,2009).Inthisstudy,weuseaGaussianker- and abrupt dynamical change, respectively (Donges et al., nel based estimator for the auto-correlation functions (Re- 2011a, b). High T values indicate epochs with regularly hfeldetal.,2011;RehfeldandKurths,2014)todeterminethe varyingclimateondecadalandcentennialscales,e.g.adom- typical values for τ . Although these values can vary when d inatingperiodiccomponentintheproxysignalortimeinter- chronological uncertainties are taken into account using the valswithstationaryorslowlychangingclimate,whilelowT COPRAframework(Fig.5,cf.Sect.2.2),weusethedecor- valuesimplyepochswithmore-erratic(i.e.lesspredictable) relationtimeobtainedfromtheoriginalrecordforreference. climatefluctuations.Incontrast,extremeLvalueshighlight timeintervalsincludingpronouncedshiftsbetweendifferent climaticregimes,whileintermediateLvalues,asdefinedby 2.3.2 Recurrencenetworkanalysis thestatisticaltestdescribedbelow,pointtoamorestationary Our aim is to detect qualitative changes in palaeomonsoon climateduringthecorrespondingepoch. dynamicsreflectedintemporalvariationsofcomplexitymea- Torobustlydetectepisodesofstability,aswellasqualita- sures computed from the proxy records. For this purpose, tivechangesinmonsoondynamicsthatareunlikelytoarise weslideawindowoverthereconstructedclimatetrajectory from statistical fluctuations alone, we apply the stationarity containingW statevectorsy ,withastepsizeof(cid:49)W state test proposed in Donges et al. (2011a, b) for each proxy i vectors.Forrenderingtheresultsoftheanalysiscomparable record. From this test we obtain 90% confidence bounds between records with differing average sampling intervals for both quantifiers T and L indicating which range of val- (cid:104)(cid:49)T(cid:105)(thisisonlyanissuefortheoriginalrecords,itdoesnot ues are typical when information from the whole record is affectCOPRAensembles),bothparametersarechosensuch takenintoaccount.Thus,fortheoriginalirregularlysampled thatthecorrespondingtimescalesW∗ and(cid:49)W∗ areapprox- recordsweareabletoidentifystatisticallysignificantepochs imately the same for all records, i.e. W =(cid:98)W∗/(cid:104)(cid:49)T(cid:105)(cid:99) and ofnon-stationarityinclimatedynamicsasthosewhereT or (cid:49)W =(cid:98)(cid:49)W∗/(cid:104)(cid:49)T(cid:105)(cid:99).WeselectthewindowsizeW∗=750 L lie outside the estimated confidence bounds. For evaluat- years for all records. The step size is chosen as (cid:49)W∗=50 ing the effects of dating uncertainties for a certain record, years for all records. It has been shown in earlier work that 90% confidence bounds for both network measures are es- the results of recurrence network analysis (RNA) are ro- timated based on combining information from all members Clim.Past,11,709–741,2015 www.clim-past.net/11/709/2015/ J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability 717 ofthecorrespondingCOPRAensemble.Inthenextstep,we changearoundthe8.2kaeventareweakerintheAISMdo- identifysignificantepochsofunusualmonsoonvariabilityas main(Partinetal.,2007;Griffithsetal.,2009). thosewhereatleast5%oftheCOPRAensemblesignalsdis- WhilethenotionofBondeventsrefersprimarilytoNorth playT orLvalueslyingoutsidethoseconfidencebounds. Atlanticclimatevariability,Mayewskietal.(2004)compiled information on global Holocene climate changes and iden- tified several periods of significant large-scale fluctuations 3 HoloceneclimatevariabilityintheAsianmonsoon based on ca. 50 globally distributed climate records from domain:currentstateofknowledge different kinds of archives (glacier fluctuations, ice cores, marinesediments),forwhichtheycoinedthetermrapidcli- For a long time, the Holocene has been thought of as a rel- matechange(RCC)episodes.Thesechangesappearedglob- atively stable climatic period, since extremely strong tem- allyinacoherentwayandweresufficientlyabrupttoaffect perature fluctuations comparable to those occurring during earlyhumansocieties(deMenocal,2001;HaberleandDavid, glacialperiodshavebeenabsent.Overapproximatelythelast 2004).Infact,severaloftheidentifiedRCCepisodescanbe twodecades,thispicturehas,however,distinctivelychanged attributed to the timing of major disruptions of civilisation due to the identification of large-scale regional and even (Cullen et al., 2000; Drysdale et al., 2006; Fleitmann et al., global climate episodes, which have interrupted the gener- 2008;Baldinietal.,2002;Berkelhammeretal.,2012). ally reduced climate variability and have lasted for several The six major Holocene RCC episodes identified by decadestocenturies(Wanneretal.,2008).Theclimaticper- Mayewski et al. (2004) are listed in Table 4. Notably, these turbationsfoundduringtheHolocenearepotentiallyrelevant episodespartlycoincidewiththeBondeventsB0–B6. factorsforthedevelopmentofcomplexhumansocietiesand The earliest Holocene RCC episode (RCC5) has been theirbehaviour(deMenocal,2001). termed “Glacial Aftermath” by Mayewski et al. (2004) and Investigating marine records from the North Atlantic has been originally attributed to a time interval between Ocean, Bond et al. (1997, 2001) were the first to provide about 9.0 and 8.0kaBP. Notably, this episode includes the evidence of a persistent cycle of ice-rafted debris in sedi- 8.2ka event (Bond event B5), which was probably initiated mentary sequences. Specifically, Bond et al. (1997) identi- by a large meltwater pulse reducing the Atlantic thermoha- fiedmorethaneightoftheseBondevents(cf.Table3),with line circulation (Broecker et al., 2010), as well as several events B1–B8 originally dated to ca. 1.4, 2.8, 4.2, 5.9, 8.1, earliermeltwaterpulses,oneofwhichpossiblytriggeredan- 9.4, 10.3, and 11.1kaBP. Some but not all of these events otherwidespreadclimateanomalyatabout9.2kaBP(Fleit- sharply coincide with periods of marked high-latitude cool- mannetal.,2008)closetoBondeventB6.Inbothcases,the ing and/or low-latitude aridification and possibly associated corresponding large-scale temperature drop in mid- to high cultural changes and large-scale migration patterns (Gupta northernlatitudeshasbeenaccompaniedbyasignificantdry- et al., 2003; Wang et al., 2005; Parker et al., 2006) due to ing in the northern tropics reflected in several records from distinctlocalresponsessuchasdroughts,increasingstormi- the Asian monsoon domain (Mayewski et al., 2004; Fleit- ness,orseasonalitychanges. mannetal.,2008). Mostprominently,the8.2kaeventiswidelyrecognisedas The following four RCC episodes (RCC4–RCC1) varied themostpronouncedlarge-scaleNorthernHemispherecool- in strength and geographical extension, but share the same ing episode during the mid-Holocene (Alley et al., 1997). common pattern of high-latitude cooling and low-latitude Regional climate changes associated with this episode in- aridity. The most extensive episode lasted from about 6.0 cludeastrengthenedatmosphericcirculationovertheNorth to 5.0kaBP (RCC4) and featured North Atlantic ice rafting Atlantic and Siberia, resulting in more frequent winter out- (5.9ka or B4 event), alpine glacier advances, strengthened breaks of polar air masses (Mayewski et al., 2004). In the westerlies, and pronounced aridity in the Arabia Peninsula lowernorthernlatitudes,thereispalaeoclimaticevidenceof (Parker et al., 2006). In the low latitudes, it coincided with widespread aridity, for example, in terms of an intermittent thebeginningdeclineoftheAfricanHumidPeriod(deMeno- interruptionoftheAfricanHumidPeriod(deMenocaletal., caletal.,2000;Francusetal.,2013),butpossiblydisplayed 2000), dramatically weakened summer monsoons over the sustained moist conditions in north-western India and Pak- ArabianSeaandtropicalAfrica(Fleitmannetal.,2003;Al- istan (Enzel et al., 1999). The 4.2–3.8kaBP period (RCC3, leyandÁgústsdóttir,2005;MorrillandJacobsen,2005),and falling together with the 4.2ka or B3 event) is commonly persistent drought in Pakistan (Mayewski et al., 2004). In weakerandlesswell-expressedinitsglobal-scalecharacter- turn, precipitation in the Middle East increased during the istics and displayed weaker winds over the North Atlantic 8.2ka event (Bar-Matthews et al., 2000; Arz et al., 2003), and Siberia and generally dryer conditions in the low lati- which indicates a possible southward displacement and in- tudes(fortheISMseeBerkelhammeretal.,2012).Between tensification of westerlies, associated with changes of the 3.5and2.5kaBP,anotherRCCepisode(RCC2)withNorth NorthAtlanticOscillation.Moreover,regardingtheregional Atlanticicerafting(BondeventB2)andstrengthenedwest- focusofthisstudy,wenotethatincomparisonwiththeISM erlies is found, whereas the signature of the 1.2–1.0kaBP and EASM domains, available indications for rapid climate episode(RCC1)againwidelyresemblesthatofRCC3. www.clim-past.net/11/709/2015/ Clim.Past,11,709–741,2015 718 J.F.Dongesetal.:Non-linearregimeshiftsinHoloceneAsianmonsoonvariability Table3.ListofBondeventsandpotentiallyrelatedculturalchanges(selection). No. Timing Notesandrelatedevents (kaBP) B0 ≈0.5 LittleIceAge(Esperetal.,2003,2007) B1 ≈1.4 MigrationPeriod(Büntgenetal.,2011;Esperetal.,2003,2007) B2 ≈2.8 InitiationofIronAgeColdEpoch(vanGeeletal.,1996;Swindlesetal.,2007;PlunkettandSwindles,2008), earlythirdmillenniumBPdroughtintheeasternMediterranean(Weiss,1982;Kaniewskietal.,2008,2010), possiblytriggeringthecollapseofLateBronzeAgecultures B3 ≈4.2 4.2kaevent,collapseoftheAkkadianEmpire (Gibbons,1993;Weissetal.,1993;Cullenetal.,2000;Stanleyetal.,2003;Drysdaleetal.,2006), endofEgyptianOldKingdom B4 ≈5.9 5.9kaevent(Parkeretal.,2006) B5 ≈8.1 8.2kaevent(Alleyetal.,1997;Baldinietal.,2002) B6 ≈9.4 ErdaleneventofglacieractivityinNorway(Dahletal.,2002;Fleitmannetal.,2008), coldeventinChina(Zhouetal.,2007;Houetal.,2012) B7 ≈10.3 (Houetal.,2012;Amigoetal.,2013) B8 ≈11.1 TransitionfromtheYoungerDryastotheboreal(Mayewskietal.,2004) Table 4. List of Holocene rapid climate change (RCC) episodes plexityandpossibleregionalvarietyofsuchchanges.While (Mayewskietal.,2004)includingpossibleforcingmechanismsand recent studies have almost exclusively focussed on changes temporallyassociatedBondevents(Table3). in the amplitudes of palaeoclimate proxies, this work ex- amines more subtle changes in the non-linear dynamics of No. Timing Possible Associated palaeoclimatevariabilityandsearchesforconsistentpatterns (kaBP) mechanisms Bond relatedtothisspecificaspect. events Notably,theHoloceneRCCepisodes(althoughrelatively RCC0 0.6–0.15 Reducedsolarforcing, B0 small in magnitude, Mayewski et al., 2004) coincide with volcanism periods of dramatic changes in some ecosystems and hu- RCC1 1.2–1.0 Reducedsolarforcing B1 mancivilisations.Forexample,theshort-livedRCC1episode RCC2 3.5–2.5 Reducedsolarforcing B2 appears synchronously with the collapse of the Maya civil- RCC3 4.2–3.8 Reducedsolarforcing B3 isation, which has possibly been substantially aggravated RCC4 6.0–5.0 Reducedsolarforcing B4 by multiple prolonged droughts (Haug et al., 2003; Kennett RCC5 9.0–8.0 Orbitalchanges, B5,B6 etal.,2012).TheRCC3episodesawthedemiseofsomeof meltwaterpulse, theworld’sfirsthighlydevelopedcomplexsocietiessuchas volcanism theAkkadianEmpire,Egypt’s Old Kingdom,andtheIndus Valley (Harappan) civilisation (Gibbons, 1993; Weiss et al., 1993;Cullenetal.,2000;Stanleyetal.,2003;Drysdaleetal., 2006). The time period around the 8.2ka event was charac- WhiletheexistenceofepisodesofHolocenerapidclimate terisedbyanabruptabandonmentofflourishingsettlements changes is meanwhile widely accepted, there is an ongoing in Anatolia and a subsequent spread of early farmers into debate about the timing and spatial coherency of these pat- southernEurope,whichwaspossiblytriggeredbyincreased terns.Forexample,Wanneretal.(2008)usedadifferentset aridity in the Middle East (Weninger et al., 2006). We will of palaeoclimate time series and “did not find any time pe- furtherelaborateonsomeimportantexamplesandtheirsig- riodforwhicharapidordramaticclimatictransitionappears natures within the Asian monsoon system in the following even in a majority of the time series” with the exception of sections. twolarge-scaleshiftsatabout5.2kaBPandbetween3.1and 2.5kaBP, which partly coincide with the RCC4 and RCC2 episodes reported by Mayewski et al. (2004). Another re- 4 Results centstudycametoasimilarresultreportingthatthespatio- temporalpatternsoftemperatureandhumidity/precipitation In this section, we report our results of RN analysis for the exhibitedverystrongvariabilityduringsomeofthemostpro- chosen set of Asian speleothem records, which reveal sev- nounced Holocene cold episodes (Wanner et al., 2011). In eral epochs of significant non-linear climatic change during our opinion, these differences among recent studies do not the Holocene. First, the results obtained by using original necessarilycontradicttheexistenceofconsistentlarge-scale age models are evaluated for their robustness with respect responsesoftheclimatesystem,butratherhighlightthecom- to dating uncertainties. For this purpose, the well-studied Clim.Past,11,709–741,2015 www.clim-past.net/11/709/2015/

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cultural changes, and the collapse of ancient human societies. et al., 2011), and collapse of complex societies such as the. Akkadian empire A Matlab implementation of the COPRA framework and pyunicorn are available
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