Skip to main content

Advertisement

Log in

Ensemble empirical mode decomposition for tree-ring climate reconstructions

  • Original Paper
  • Published:
Theoretical and Applied Climatology Aims and scope Submit manuscript

Abstract

A novel data adaptive method named ensemble empirical mode decomposition (EEMD) was used to reconstruct past temperature and precipitation variability in two 2,328- and 1,837-year tree-ring chronologies from the Dulan region, northeastern Qinghai–Tibetan Plateau. Our results show that EEMD can be used to extract low-frequency signals from the Dulan tree-ring data. The extracted low-frequency temperature trends in the two chronologies correlate significantly with Northern Hemisphere temperatures over the past two millennia. In addition, the newly reconstructed precipitation data have a higher standard deviation than that of data reconstructed with the conventional ordinary least squares and variance matching methods and yield the best amplitude match to the instrumental data. This study shows that EEMD is a powerful tool for extracting the full spectrum of climate information in tree-ring chronologies.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Briffa KR, Jones PD, Bartholin TS, Eckstein D, Schweingruber FH, Karlen W, Zetterberg P, Eronen M (1992) Fennoscandian summers from AD 500: temperature changes on short and long timescales. Clim Dyn 7(3):111–119

    Article  Google Scholar 

  • Briffa KR, Shishov VV, Melvin TM, Vaganov EA, Grudd H, Hantemirov RM, Eronen M, Naurzbaev MM (2008) Trends in recent temperature and radial tree growth spanning 2000 years across northwest Eurasia. Philos Trans Royal Soc B: Biol Sci 363(1501):2269–2282

    Article  Google Scholar 

  • Brohan P, Kennedy J, Harris I, Tett S, Jones P (2006) Uncertainty estimates in regional and global observed temperature changes: a new dataset from 1850. J Geophys Res 111:D12106. doi:10.1029/2005JD006548

    Article  Google Scholar 

  • Cook ER, Anchukaitis KJ, Buckley BM, D'Arrigo RD, Jacoby GC, Wright WE (2010) Asian monsoon failure and megadrought during the last millennium. Science 328(5977):486–489

    Article  Google Scholar 

  • Esper J, Cook E, Schweingruber F (2002) Low-frequency signals in long tree-ring chronologies for reconstructing past temperature variability. Science 295(5563):2250–2253

    Article  Google Scholar 

  • Feng S, Tang M, Wang D (1998) New evidence for the Qinghai–Xizang (Tibet) Plateau as a pilot region of climatic fluctuation in China. Chin Sci Bull 43(20):1745–1749

    Article  Google Scholar 

  • Glickman TS, Zenk W (2000) Glossary of meteorology. American Meteorological Society, Boston

    Google Scholar 

  • Gou X, Yang M, Peng J, Zhang Y, Chen T, Hou Z (2006) Maximum temperature reconstruction for Animaqing Mountains over past 830 years based on tree ring records. Quat Sci 26(6):991–998 (In Chinese)

    Google Scholar 

  • Huang NE, Wu ZH (2008) A review on Hilbert–Huang transform: method and its applications to geophysical studies. Rev Geophys 46:RG2006. doi:10.1029/2007RG000228

    Article  Google Scholar 

  • Huang N, Shen Z, Long S, Wu M, Shih H, Zheng Q, Yen N, Tung C, Liu H (1998) The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis. Proc: Math, Phys Eng Sci 454(1971):903–995

    Article  Google Scholar 

  • Jones PD, Briffa KR, Barnett TP, Tett SFB (1998) High-resolution palaeoclimatic records for the last millennium: interpretation, integration and comparison with General Circulation Model control-run temperatures. Holocene 8(4):455–471

    Article  Google Scholar 

  • Kang XC, Graumlich L, Sheppard P (1997) A 1835-year tree-ring chronology and its preliminary analyses in Dulan region, Qinghai. Chin Sci Bull 42(13):1122–1124 (In Chinese)

    Google Scholar 

  • Lee T, Ouarda T (2011) Prediction of climate nonstationary oscillation processes with empirical mode decomposition. J Geophys Res-Atmos 116:D06107. doi:10.1029/2010jd015142

    Article  Google Scholar 

  • Lee TCK, Zwiers FW, Tsao M (2008) Evaluation of proxy-based millennial reconstruction methods. Clim Dyn 31(2–3):263–281

    Article  Google Scholar 

  • Li QX, Dong WJ, Li W, Gao XR, Jones P, Kennedy J, Parker D (2010) Assessment of the uncertainties in temperature change in China during the last century. Chin Sci Bull 55(19):1974–1982

    Article  Google Scholar 

  • Liu X, Chen B (2000) Climatic warming in the Tibetan Plateau during recent decades. Int J Climatol 20(14):1729–1742

    Article  Google Scholar 

  • Liu X, Qin D, Shao X, Chen T, Ren J (2005) Temperature variations recovered from tree-rings in the middle Qilian Mountain over the last millennium. Sci China Ser D: Earth Sci 48(4):521–529

    Article  Google Scholar 

  • Liu Y, An Z, Ma H, Cai Q, Liu Z, Kutzbach J, Shi J, Song H, Sun J, Yi L (2006) Precipitation variation in the northeastern Tibetan Plateau recorded by the tree rings since 850 AD and its relevance to the Northern Hemisphere temperature. Sci China Ser D: Earth Sci 49(4):408–420

    Article  Google Scholar 

  • Liu Y, An Z, Linderholm H, Chen D, Song H, Cai Q, Sun J, Tian H (2009) Annual temperatures during the last 2485 years in the mid-eastern Tibetan Plateau inferred from tree rings. Sci China Ser D: Earth Sci 52(3):348–359

    Article  Google Scholar 

  • Mann ME, Zhang ZH, Hughes MK, Bradley RS, Miller SK, Rutherford S, Ni FB (2008) Proxy-based reconstructions of hemispheric and global surface temperature variations over the past two millennia. Proc Natl Acad Sci U S A 105(36):13252–13257

    Article  Google Scholar 

  • Melvin T, Briffa K (2008) A signal-free approach to dendroclimatic standardisation. Dendrochronologia 26(2):71–86

    Article  Google Scholar 

  • Moberg A, Sonechkin DM, Holmgren K, Datsenko NM, Karlen W (2005) Highly variable Northern Hemisphere temperatures reconstructed from low- and high-resolution proxy data. Nature 433(7026):613–617

    Article  Google Scholar 

  • Qian C, Wu Z, Fu C, Zhou T (2010) On multi-timescale variability of temperature in China in modulated annual cycle reference frame. Adv Atmos Sci 27(5):1169–1182

    Article  Google Scholar 

  • Shao X, Huang L, Liu H, Liang E, Fang X, Wang L (2005) Reconstruction of precipitation variation from tree rings in recent 1000 years in Delingha, Qinghai. Sci China (Ser D) 48(7):939–949

    Article  Google Scholar 

  • Shao X, Wang S, Zhu H, Xu Y, Liang E, Yin Z, Xu X, Xiao Y (2009) A 3585-year ring-width dating chronology of Qilian juniper from the northeastern Qinghai–Tibetan Plateau. IAWA J 30(4):379–394

    Google Scholar 

  • Sheppard P, Tarasov P, Graumlich L, Heussner K, Wagner M, Sterle H, Thompson L (2004) Annual precipitation since 515 BC reconstructed from living and fossil juniper growth of northeastern Qinghai Province, China. Clim Dyn 23(7):869–881

    Article  Google Scholar 

  • Tang G, Ding Y, Wang S, Ren G, Liu H, Zhang L (2009) Comparative analysis of the time series of surface air temperature over China for the last 100 years. Adv Clim Chang Res 5(2):71–78

    Google Scholar 

  • Torrence C, Compo GP (1998) A practical guide to wavelet analysis. Bull Am Meteorol Soc 79(1):61–78

    Article  Google Scholar 

  • Trenberth KE (1984) Some effects of finite sample size and persistence on meteorological statistics. part I: Autocorrelations. Mon Wea Rev 112:2359–2368

    Article  Google Scholar 

  • Webster P, Tomas R (1998) Monsoons—processes, predictability, and the prospects for prediction. J Geophys Res 103(C7):14451–14510

    Article  Google Scholar 

  • Wu Z, Schneider E, Kirtman B, Sarachik E, Huang N, Tucker C (2008) The modulated annual cycle: an alternative reference frame for climate anomalies. Clim Dyn 31(7):823–841

    Article  Google Scholar 

  • Wu Z, Huang N, Chen X (2009) The multi-dimensional ensemble empirical mode decomposition method. Adv Adapt Data Anal 1(3):339–372

    Article  Google Scholar 

  • Wu Z, Huang N, Wallace J, Smoliak B, Chen X (2011) On the time-varying trend in global-mean surface temperature. Clim Dyn 37(3):759–773

    Article  Google Scholar 

  • Yang B, Kang XC, Brauning A, Liu J, Qin C, Liu JJ (2010) A 622-year regional temperature history of southeast Tibet derived from tree rings. Holocene 20(2):181–190

    Article  Google Scholar 

  • Yang B, Qin C, Bräuning A, Burchardt I, Liu J (2011) Rainfall history for the Hexi Corridor in the arid northwest China during the past 620 years derived from tree rings. Int J Climatol 31(8):1166–1176

    Article  Google Scholar 

  • Yang B, Sonechkin DM, Datsenko NM, Ivashchenko NN, Liu J, Qin C (2012a) Eigen analysis of tree-ring records: part 2, posing the eigen problem. Theor Appl Climatol. doi:10.1007/s00704-011-0468-y

  • Yang B, Sonechkin DM, Datsenko NM, Ivashchenko NN, Liu J, Qin C (2012b) The eigen analysis of tree-ring records: part 3, taking heteroscedasticity and sampling effects into consideration. Theor Appl Climatol. doi:10.1007/s00704-011-0498-5

  • Zhang Q, Qiu H (2007) A millennium-long tree-ring chronology of Sabina przewalskii on northeastern Qinghai–Tibetan Plateau. Dendrochronologia 24(2–3):91–95

    Article  Google Scholar 

  • Zhang Q, Cheng G, Yao T, Kang X, Huang J (2003) A 2,326-year tree-ring record of climate variability on the northeastern Qinghai–Tibetan Plateau. Geophys Res Lett 30(14):1739–1742

    Article  Google Scholar 

  • Zhang Y, Gou X, Chen F, Tian Q, Yang M, Peng J, Fang K (2009) A 1232-year tree-ring record of climate variability in the Qilian Mountains, northwestern China. IAWA J 30(4):407–420

    Google Scholar 

  • Zhu H, Zheng Y, Shao X, Liu X, Xu Y, Liang E (2008) Millennial temperature reconstruction based on tree-ring widths of Qilian juniper from Wulan, Qinghai Province, China. Chin Sci Bull 53(24):3914–3920

    Article  Google Scholar 

Download references

Acknowledgements

The authors thank two anonymous reviewers for their thoughtful and constructive comments. This paper also benefited from revisions by the editor Hartmut Graßl. The study was jointly funded by CAS Strategic Priority Research Program Grant (No. XDA05080801), Chinese Academy of Sciences (CAS) 100 Talents Project (29082762), and NSFC (Grant Nos. 41071130 and 40871091). Feng Shi was supported by West Light Program for Talent Cultivation of Chinese Academy of Sciences. Bao Yang gratefully acknowledges the support of K.C. Wong Education Foundation. Hong Kong. LvG was supported by Swiss NSF (PBBEP2-126056).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bao Yang.

Electronic supplementary materials

Below is the link to the electronic supplementary material.

Fig. S1

Comparison between the low-frequency (IMFs 8-10) signal of the Northern Hemisphere temperature reconstructions and the two Dulan chronologies. All series were decomposed using the EEMD approach. (PDF 48 kb)

Table S1

Results of the EEMD method applied to two tree-ring chronologies and to temperature and precipitation records from Dulan (XLS 14018 kb)

Table S2

The quasi-period of each IMF in the meteorological temperature and precipitation series and of the two tree-ring series Z03 and S04 (DOC 46 kb)

Table S3

Correlation analysis of the precipitation and temperature data with the two tree-ring chronologies Z03 and S04 in five time–frequency domains (DOC 57 kb)

Table S4

Statistical validation of the reconstructions, skill assessments, and uncertainty estimations (DOC 46 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shi, F., Yang, B., von Gunten, L. et al. Ensemble empirical mode decomposition for tree-ring climate reconstructions. Theor Appl Climatol 109, 233–243 (2012). https://doi.org/10.1007/s00704-011-0576-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00704-011-0576-8

Keywords

Navigation