H. Braun 
        
            Many climate records show the occurrence of large amplitude (10–15 K), millennial-scale warming events during glacial times, the Dansgaard-Oeschger (DO) events. So far these events have almost exclusively been investigated by means of linear time series analysis. The scope of this paper is to test if the assumption of linearity is fulfilled during DO events. By means of a surrogate-based Monte Carlo method, I here demonstrate that the 60 000-year long δ18 O-record from the NGRIP ice core from Greenland allows to reject the null hypothesis of linearity beyond any reasonable level of doubt. Instead, the ice core record supports the interpretation that the events represent regime switches between different states of operation of glacial climate. As a conclusion, future studies on DO events should focus on the development and the application of more adequate (i.e., nonlinear) methods of time series analysis.
         
        
            
                
                    Received: 31 May 2009  – Discussion started: 01 Jul 2009 
                
             
            
                Publisher's note : Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.
            
        
            
                
        
            
                
                
            
            
            
            
        
     
    
            
                H. Braun 
        
        
            
                
            
                
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                                                            14 
                                                     
                                                    
                                                            Mar 2017 
                                                            197 
                                                            199 
                                                            27 
                                                     
                                                    
                                                            May 2017 
                                                            227 
                                                            209 
                                                            38 
                                                     
                                                    
                                                            May 2017 
                                                            255 
                                                            209 
                                                            46 
                                                     
                                                    
                                                            Jul 2017 
                                                            288 
                                                            210 
                                                            54 
                                                     
                                                    
                                                            Jul 2017 
                                                            297 
                                                            211 
                                                            55 
                                                     
                                                    
                                                            Aug 2017 
                                                            301 
                                                            211 
                                                            55 
                                                     
                                                    
                                                            Oct 2017 
                                                            311 
                                                            211 
                                                            55 
                                                     
                                                    
                                                            Oct 2017 
                                                            319 
                                                            211 
                                                            55 
                                                     
                                                    
                                                            Dec 2017 
                                                            327 
                                                            211 
                                                            55 
                                                     
                                                    
                                                            Dec 2017 
                                                            336 
                                                            212 
                                                            55 
                                                     
                                                    
                                                            Jan 2018 
                                                            346 
                                                            216 
                                                            55 
                                                     
                                                    
                                                            Mar 2018 
                                                            364 
                                                            217 
                                                            57 
                                                     
                                                    
                                                            Mar 2018 
                                                            376 
                                                            219 
                                                            58 
                                                     
                                                    
                                                            May 2018 
                                                            391 
                                                            223 
                                                            59 
                                                     
                                                    
                                                            May 2018 
                                                            403 
                                                            229 
                                                            62 
                                                     
                                                    
                                                            Jul 2018 
                                                            416 
                                                            231 
                                                            63 
                                                     
                                                    
                                                            Jul 2018 
                                                            428 
                                                            234 
                                                            65 
                                                     
                                                    
                                                            Aug 2018 
                                                            433 
                                                            237 
                                                            66 
                                                     
                                                    
                                                            Oct 2018 
                                                            441 
                                                            239 
                                                            66 
                                                     
                                                    
                                                            Oct 2018 
                                                            455 
                                                            243 
                                                            66 
                                                     
                                                    
                                                            Dec 2018 
                                                            472 
                                                            246 
                                                            67 
                                                     
                                                    
                                                            Dec 2018 
                                                            480 
                                                            249 
                                                            67 
                                                     
                                                    
                                                            Jan 2019 
                                                            494 
                                                            251 
                                                            68 
                                                     
                                                    
                                                            Mar 2019 
                                                            507 
                                                            257 
                                                            69 
                                                     
                                                    
                                                            Mar 2019 
                                                            518 
                                                            258 
                                                            69 
                                                     
                                                    
                                                            May 2019 
                                                            525 
                                                            262 
                                                            69 
                                                     
                                                    
                                                            May 2019 
                                                            534 
                                                            263 
                                                            69 
                                                     
                                                    
                                                            Jul 2019 
                                                            538 
                                                            269 
                                                            69 
                                                     
                                                    
                                                            Jul 2019 
                                                            543 
                                                            273 
                                                            69 
                                                     
                                                    
                                                            Aug 2019 
                                                            553 
                                                            274 
                                                            69 
                                                     
                                                    
                                                            Oct 2019 
                                                            556 
                                                            276 
                                                            69 
                                                     
                                                    
                                                            Oct 2019 
                                                            562 
                                                            277 
                                                            70 
                                                     
                                                    
                                                            Dec 2019 
                                                            576 
                                                            279 
                                                            70 
                                                     
                                                    
                                                            Dec 2019 
                                                            584 
                                                            280 
                                                            70 
                                                     
                                                    
                                                            Jan 2020 
                                                            594 
                                                            283 
                                                            70 
                                                     
                                                    
                                                            Mar 2020 
                                                            602 
                                                            285 
                                                            71 
                                                     
                                                    
                                                            Mar 2020 
                                                            603 
                                                            287 
                                                            71 
                                                     
                                                    
                                                            May 2020 
                                                            611 
                                                            288 
                                                            71 
                                                     
                                                    
                                                            May 2020 
                                                            621 
                                                            290 
                                                            72 
                                                     
                                                    
                                                            Jul 2020 
                                                            634 
                                                            290 
                                                            72 
                                                     
                                                    
                                                            Jul 2020 
                                                            645 
                                                            298 
                                                            81 
                                                     
                                                    
                                                            Aug 2020 
                                                            651 
                                                            299 
                                                            83 
                                                     
                                                    
                                                            Oct 2020 
                                                            653 
                                                            299 
                                                            83 
                                                     
                                                    
                                                            Oct 2020 
                                                            661 
                                                            303 
                                                            84 
                                                     
                                                    
                                                            Dec 2020 
                                                            672 
                                                            306 
                                                            85 
                                                     
                                                    
                                                            Dec 2020 
                                                            680 
                                                            308 
                                                            86 
                                                     
                                                    
                                                            Jan 2021 
                                                            692 
                                                            313 
                                                            87 
                                                     
                                                    
                                                            Mar 2021 
                                                            704 
                                                            313 
                                                            87 
                                                     
                                                    
                                                            Mar 2021 
                                                            715 
                                                            315 
                                                            87 
                                                     
                                                    
                                                            May 2021 
                                                            719 
                                                            317 
                                                            87 
                                                     
                                                    
                                                            May 2021 
                                                            732 
                                                            320 
                                                            87 
                                                     
                                                    
                                                            Jul 2021 
                                                            742 
                                                            320 
                                                            87 
                                                     
                                                    
                                                            Jul 2021 
                                                            754 
                                                            322 
                                                            87 
                                                     
                                                    
                                                            Aug 2021 
                                                            766 
                                                            323 
                                                            87 
                                                     
                                                    
                                                            Oct 2021 
                                                            777 
                                                            324 
                                                            87 
                                                     
                                                    
                                                            Oct 2021 
                                                            798 
                                                            326 
                                                            88 
                                                     
                                                    
                                                            Dec 2021 
                                                            815 
                                                            330 
                                                            88 
                                                     
                                                    
                                                            Dec 2021 
                                                            824 
                                                            331 
                                                            88 
                                                     
                                                    
                                                            Jan 2022 
                                                            851 
                                                            338 
                                                            88 
                                                     
                                                    
                                                            Mar 2022 
                                                            862 
                                                            341 
                                                            89 
                                                     
                                                    
                                                            Mar 2022 
                                                            873 
                                                            342 
                                                            90 
                                                     
                                                    
                                                            May 2022 
                                                            882 
                                                            344 
                                                            90 
                                                     
                                                    
                                                            May 2022 
                                                            886 
                                                            347 
                                                            90 
                                                     
                                                    
                                                            Jul 2022 
                                                            888 
                                                            347 
                                                            90 
                                                     
                                                    
                                                            Jul 2022 
                                                            892 
                                                            348 
                                                            90 
                                                     
                                                    
                                                            Aug 2022 
                                                            899 
                                                            349 
                                                            90 
                                                     
                                                    
                                                            Oct 2022 
                                                            901 
                                                            351 
                                                            90 
                                                     
                                                    
                                                            Oct 2022 
                                                            907 
                                                            354 
                                                            92 
                                                     
                                                    
                                                            Dec 2022 
                                                            917 
                                                            358 
                                                            92 
                                                     
                                                    
                                                            Dec 2022 
                                                            928 
                                                            364 
                                                            93 
                                                     
                                                    
                                                            Jan 2023 
                                                            932 
                                                            368 
                                                            94 
                                                     
                                                    
                                                            Mar 2023 
                                                            937 
                                                            373 
                                                            94 
                                                     
                                                    
                                                            Mar 2023 
                                                            947 
                                                            375 
                                                            95 
                                                     
                                                    
                                                            May 2023 
                                                            953 
                                                            375 
                                                            96 
                                                     
                                                    
                                                            May 2023 
                                                            960 
                                                            381 
                                                            96 
                                                     
                                                    
                                                            Jul 2023 
                                                            965 
                                                            386 
                                                            97 
                                                     
                                                    
                                                            Jul 2023 
                                                            982 
                                                            387 
                                                            97 
                                                     
                                                    
                                                            Aug 2023 
                                                            986 
                                                            388 
                                                            97 
                                                     
                                                    
                                                            Oct 2023 
                                                            1,000 
                                                            391 
                                                            101 
                                                     
                                                    
                                                            Oct 2023 
                                                            1,012 
                                                            396 
                                                            101 
                                                     
                                                    
                                                            Dec 2023 
                                                            1,013 
                                                            396 
                                                            102 
                                                     
                                                    
                                                            Dec 2023 
                                                            1,020 
                                                            396 
                                                            102 
                                                     
                                                    
                                                            Jan 2024 
                                                            1,028 
                                                            396 
                                                            102 
                                                     
                                                    
                                                            Mar 2024 
                                                            1,036 
                                                            397 
                                                            102 
                                                     
                                                    
                                                            Mar 2024 
                                                            1,057 
                                                            398 
                                                            105 
                                                     
                                                    
                                                            May 2024 
                                                            1,063 
                                                            399 
                                                            106 
                                                     
                                                    
                                                            May 2024 
                                                            1,076 
                                                            401 
                                                            113 
                                                     
                                                    
                                                            Jul 2024 
                                                            1,083 
                                                            401 
                                                            113 
                                                     
                                                    
                                                            Jul 2024 
                                                            1,093 
                                                            402 
                                                            117 
                                                     
                                                    
                                                            Aug 2024 
                                                            1,106 
                                                            402 
                                                            117 
                                                     
                                                    
                                                            Oct 2024 
                                                            1,111 
                                                            403 
                                                            117 
                                                     
                                                    
                                                            Oct 2024 
                                                            1,116 
                                                            404 
                                                            117 
                                                     
                                                    
                                                            Dec 2024 
                                                            1,122 
                                                            407 
                                                            119 
                                                     
                                                    
                                                            Dec 2024 
                                                            1,124 
                                                            409 
                                                            120 
                                                     
                                                    
                                                            Jan 2025 
                                                            1,130 
                                                            410 
                                                            122 
                                                     
                                                    
                                                            Mar 2025 
                                                            1,143 
                                                            410 
                                                            125 
                                                     
                                                    
                                                            Mar 2025 
                                                            1,152 
                                                            412 
                                                            126 
                                                     
                                                    
                                                            May 2025 
                                                            1,163 
                                                            415 
                                                            127 
                                                     
                                                    
                                                            May 2025 
                                                            1,177 
                                                            421 
                                                            127 
                                                     
                                                    
                                                            Jul 2025 
                                                            1,199 
                                                            426 
                                                            128 
                                                     
                                                    
                                                            Jul 2025 
                                                            1,207 
                                                            429 
                                                            129 
                                                     
                                                    
                                                            Aug 2025 
                                                            1,272 
                                                            433 
                                                            130 
                                                     
                                                    
                                                            Oct 2025 
                                                            1,518 
                                                            434 
                                                            131 
                                                     
                                                    
                                                            Oct 2025 
                                                            1,532 
                                                            439 
                                                            132 
                                                     
                                                 
                                            
                                         
                                     
                                 
                         
            
            
                    
                 
            
            
            
            
            
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        Latest update: 31 Oct 2025