Climate Dynamics

, Volume 37, Issue 11–12, pp 2235–2251 | Cite as

A climate-isotope regression model with seasonally-varying and time-integrated relationships

  • Matt J. Fischer
  • Lisa M. Baldini


This study investigates multivariable and multiscalar climate-δ18O relationships, through the use of statistical modeling and simulation. Three simulations, of increasing complexity, are used to generate time series of daily precipitation δ18O. The first simulation uses a simple local predictor (daily rainfall amount). The second simulation uses the same local predictor plus a larger-scale climate variable (a daily NAO index), and the third simulation uses the same local and non-local predictors, but with varying seasonal effect. Since these simulations all operate at the daily timescale, they can be used to investigate the climate-δ18O patterns that arise at daily-interannual timescales. These simulations show that (1) complex links exist between climate-δ18O relationships at different timescales, (2) the short-timescale relationships that underlie monthly predictor-δ18O relationships can be recovered using only monthly δ18O and daily predictor variables, (3) a comparison between the simulations and observational data can elucidate the physical processes at work. The regression models developed are then applied to a 2-year dataset of monthly precipitation δ18O from Dublin and compared with event-scale data from the same site, which illustrates that the methodology works, and that the third regression model explains about 55% of the variance in δ18O at this site. The methodology introduced here can potentially be applied to historic monthly δ18O data, to better understand how multiple-integrated influences at short timescales give rise to climate-δ18O patterns at monthly-interannual timescales.


Time series analysis Multivariate regression Oxygen isotopes GNIP NAO Characteristic timescale 



The authors wish to thank Dr. Simon Poulson and the UNR isotope laboratory for analyzing the Dublin rainwater samples. The research was funded by Science Foundation Ireland and a University College Dublin (UCD) Seed Funding grant while LB was a graduate student at University College Dublin, Ireland.


  1. Baldini LM, McDermott F, Foley AM, Baldini JUL (2008) Spatial variability in the European winter precipitation δ18O-NAO relationship: implications for reconstructing NAO-mode climate variability in the Holocene. Geophys Res Lett 35:L04709. doi: 10.1029/2007GL032027 CrossRefGoogle Scholar
  2. Baldini LM, McDermott F, Baldini JUL, Fischer MJ, Molhoff M (2010) An investigation of the controls on Irish precipitation δ18O values on monthly and event timescales. Clim Dyn. doi: 10.1007/s00382-010-0774-6
  3. Bowen GJ (2008) Spatial analysis of the intra-annual variation of precipitation isotope ratios and its climatological corollaries. J Geophys Res 113:D05113. doi: 10.1029/2007JD009295 CrossRefGoogle Scholar
  4. Darling WG, Talbot JC (2003) The O & H stable isotopic composition of fresh waters in the British Isles. 1. Rainfall. Hydrol Earth Syst Sci 7:163–181CrossRefGoogle Scholar
  5. Dunkerley D (2008) Identifying individual rain events from pluviograph records: a review with analysis of data from an Australian dryland site. Hydrol Process 22:5024–5036. doi: 10.1002/hyp.7122 CrossRefGoogle Scholar
  6. Fischer MJ, Treble PC (2008) Calibrating climate-δ18O regression models for the interpretation of high-resolution speleothem δ18O time series. J Geophys Res 113:D17103. doi: 10.1029/2007JD009694 CrossRefGoogle Scholar
  7. Fisher NI (1993) Statistical analysis of circular data. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  8. Folland CK, Knight J, Linderholm HW, Fereday D (2009) The summer North Atlantic oscillation: past, present and future. J Clim 22:1082–1103CrossRefGoogle Scholar
  9. Frankenberg C, Yoshimura K, Warneke T, Aben I, Butz A, Deutcher N, Griffith D, Hase F, Notholt J, Schneider M, Schrijver H, Rockmann T (2009) Dynamic processes governing lower-tropospheric HDO/H2O ratios as observed from space and ground. Science 325:1374–1377CrossRefGoogle Scholar
  10. Fu G, Viney NR, Charles SP (2010) Evaluation of various root transformations of daily precipitation amounts fitted with a normal distribution for Australia. Theor Appl Climatol 99:229–238. doi: 10.1007/s00704-009-0137-6 CrossRefGoogle Scholar
  11. Greene JS, Klatt M, Morrissey M, Postawko S (2008) The comprehensive Pacific rainfall database. J Atmos Ocean Technol 25:71–82CrossRefGoogle Scholar
  12. Jones PD, Jonsson T, Wheeler D (1997) Extension to the North Atlantic oscillation using early instrumental pressure observations from Gibraltar and south-west Iceland. Int J Climat 17:1433–1450CrossRefGoogle Scholar
  13. Klok EJ, Klein Tank AMG (2008) Updated and extended European dataset of daily climate observations. Int J Climat 29:1182–1191. doi: 10.1002/joc.1779 CrossRefGoogle Scholar
  14. Kohn M, Welker JM (2005) On the temperature correlation of δ18O in modern precipitation. Earth Planet Sci Lett 231:87–96. doi: 10.1016/j.epsl.2004.12.004 CrossRefGoogle Scholar
  15. Lawrence JR, White JWC (1991) The elusive climate signal in the isotopic composition of precipitation. In: Taylor HP, O’Neil JR, Kaplan IR (eds) Stable isotope geochemistry: a tribute to Sam Epstein, The Geochem Soc, Spec. Publ. 3. Lancaster Press, pp 169–185Google Scholar
  16. Marler MRP, Gehrman P, Martin JL, Ancoli-Israel S (2006) The sigmoidally transformed cosine curve: a mathematical model for circadian rhythms with symmetric non-sinusoidal shapes. Stat in Medicine 25:3893–3904CrossRefGoogle Scholar
  17. Noone D, Simmonds I (2002) Associations between δ18O and water and climate parameters in a simulation of atmospheric circulation for 1979–95. J Clim 15:3150–3169CrossRefGoogle Scholar
  18. Peng H, Mayer B, Norman A, Krouse HR (2005) Modelling of hydrogen and oxygen isotope compositions for local precipitation Tellus 57B:273–282Google Scholar
  19. Rayner NA, Brohan P, Parker DE, Folland CK, Kennedy JJ, Vanicek M, Ansell T, Tett SFB (2006) Improved analyses of changes and uncertainties in sea surface temperature measured in situ since the mid-nineteenth century: the HadSST2 data set. J Clim 19:446–469CrossRefGoogle Scholar
  20. Risi C, Bony S, Vimeux F (2008) Influence of convective processes on the isotopic composition (δ18O and δD) of precipitation and water vapour in the tropics: 2. Physical interpretation of the amount effect. J Geophys Res 113:D19306. doi: 10.1029/2008JD009943 CrossRefGoogle Scholar
  21. Rozanski K, Araguas-Araguas L, Gonfiantini R (1993) Isotopic patterns in modern global precipitation. In: Swart PK, Lohmann KC, McKenzie J, Savin S (eds) Climate change in continental isotopic records. American Geophysical Union, Washington, pp 1–36CrossRefGoogle Scholar
  22. Sjostrom DJ, Welker JM (2009) The influence of air mass source on the seasonal isotopic composition of precipitation, eastern USA. J Geochemical Exploration 102:103–112CrossRefGoogle Scholar
  23. Stine AR, Huybers P, Fung IY (2009) Changes in the phase of the annual cycle of surface temperature. Nature 457:435–440. doi: 10.1038/nature07675 CrossRefGoogle Scholar
  24. Thompson RJ (1995) A time series analysis of the changing seasonality of precipitation in the British Isles and neighbouring areas. J Hydrology 224:169–183CrossRefGoogle Scholar
  25. Vachon RW, Welker JM, White JWC, Vaughn BH (2010) Moisture source temperatures and precipitation δ18O-temperature relationships across the United States. Water Resour Res 46:W07523. doi: 10.1029/2009WR008558 CrossRefGoogle Scholar
  26. Walsh JE, Portis DH (1999) Variations of precipitation and evaporation over the North Atlantic Ocean, 1958–1997. J Geophys Res 104:16613–16631CrossRefGoogle Scholar
  27. Yapp CJ (1982) A model for the relationship between precipitation D/H ratios and precipitation intensity. J Geophys Res 87:9614–9620CrossRefGoogle Scholar
  28. Yatagai A, Arakawa O, Kamiguchi K, Kawamoto H, Nodzu MI, Hamada A (2009) A 44-year daily precipitation dataset for Asia based on dense network of rain gauges. SOLA 5:137–140. doi: 10.2151/sola.2009-035 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Institute for Environmental ResearchAustralian Nuclear Science and Technology OrganisationMenaiAustralia
  2. 2.Department of Earth SciencesDurham University, Science LabsDurhamUK

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