Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland
The results of the investigations of a transformed series of reconstructed air temperature data for the central part of Greenland with an increment of 30 years have been presented. Stationarization of a ~ 50,000-years’ series of the reconstructed air temperature in the central part of Greenland acco...
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Kazan Federal University
2016-06-01
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| Series: | Учёные записки Казанского университета: Серия Естественные науки |
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| Online Access: | http://kpfu.ru/portal/docs/F965753843/158_2_est_10.pdf |
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| author | T.E. Danova B.V. Perelygin |
| author_facet | T.E. Danova B.V. Perelygin |
| author_sort | T.E. Danova |
| collection | DOAJ |
| description | The results of the investigations of a transformed series of reconstructed air temperature data for the central part of Greenland with an increment of 30 years have been presented. Stationarization of a ~ 50,000-years’ series of the reconstructed air temperature in the central part of Greenland according to ice core data has been performed using mathematical expectation. To obtain mathematical expectation estimation, the smoothing procedure by the methods of moving average and wavelet analysis has been carried out. Fourier’s transformation has been applied repeatedly to the stationarized series with changing the averaging time in the process of smoothing. Three averaging time values have been selected for the investigations: ~ 400–500 years, ~ 2,000 years, and ~ 4,000 years. Stationarization of the reconstructed temperature series with the help of wavelet transformation showed the best results when applying the averaging time of ~ 400 and ~ 2000 years, the trends well characterize the initial temperature series, there-by revealing the main patterns of its dynamics. Using the period with the averaging time of ~ 4,000 years showed the worst result: significant events of the main temperature series were lost in the process of averaging. The obtained results well correspond to cycling known to be inherent to the climatic system of the planet; the detected modes of 1,470 ± 500 years are comparable to the Dansgaard–Oeschger and Bond oscillations. |
| format | Article |
| id | doaj-art-986859b72fbc4dc2a64441a879ad5d5a |
| institution | DOAJ |
| issn | 1815-6169 2500-218X |
| language | English |
| publishDate | 2016-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета: Серия Естественные науки |
| spelling | doaj-art-986859b72fbc4dc2a64441a879ad5d5a2025-08-20T02:56:43ZengKazan Federal UniversityУчёные записки Казанского университета: Серия Естественные науки1815-61692500-218X2016-06-011582293310Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of GreenlandT.E. Danova0B.V. Perelygin1Marine Hydrophysical Institute, Russian Academy of Sciences, Sevastopol, 299011 RussiaOdessa State Environmental University, Odessa, 65016 UkraineThe results of the investigations of a transformed series of reconstructed air temperature data for the central part of Greenland with an increment of 30 years have been presented. Stationarization of a ~ 50,000-years’ series of the reconstructed air temperature in the central part of Greenland according to ice core data has been performed using mathematical expectation. To obtain mathematical expectation estimation, the smoothing procedure by the methods of moving average and wavelet analysis has been carried out. Fourier’s transformation has been applied repeatedly to the stationarized series with changing the averaging time in the process of smoothing. Three averaging time values have been selected for the investigations: ~ 400–500 years, ~ 2,000 years, and ~ 4,000 years. Stationarization of the reconstructed temperature series with the help of wavelet transformation showed the best results when applying the averaging time of ~ 400 and ~ 2000 years, the trends well characterize the initial temperature series, there-by revealing the main patterns of its dynamics. Using the period with the averaging time of ~ 4,000 years showed the worst result: significant events of the main temperature series were lost in the process of averaging. The obtained results well correspond to cycling known to be inherent to the climatic system of the planet; the detected modes of 1,470 ± 500 years are comparable to the Dansgaard–Oeschger and Bond oscillations.http://kpfu.ru/portal/docs/F965753843/158_2_est_10.pdfice coresnonstationary seriestrendstationarizationharmonic analysis |
| spellingShingle | T.E. Danova B.V. Perelygin Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland Учёные записки Казанского университета: Серия Естественные науки ice cores nonstationary series trend stationarization harmonic analysis |
| title | Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland |
| title_full | Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland |
| title_fullStr | Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland |
| title_full_unstemmed | Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland |
| title_short | Harmonic Analysis of a Nonstationary Series of Temperature Paleoreconstruction for the Central Part of Greenland |
| title_sort | harmonic analysis of a nonstationary series of temperature paleoreconstruction for the central part of greenland |
| topic | ice cores nonstationary series trend stationarization harmonic analysis |
| url | http://kpfu.ru/portal/docs/F965753843/158_2_est_10.pdf |
| work_keys_str_mv | AT tedanova harmonicanalysisofanonstationaryseriesoftemperaturepaleoreconstructionforthecentralpartofgreenland AT bvperelygin harmonicanalysisofanonstationaryseriesoftemperaturepaleoreconstructionforthecentralpartofgreenland |