Millennial temperature reconstruction intercomparison and evaluation

There has been considerable recent interest in pa- leoclimate reconstructions of the temperature history of the last millennium. A wide variety of techniques have been used. The interrelation among the techniques is sometimes unclear, as different studies often use distinct data sources as well as distinct methodologies. Here recent work is re- viewed and some new calculations performed with an aim to clarifying the consequences of the different approaches used. A range of proxy data collections introduced by different au- thors is used to estimate Northern Hemispheric annual mean temperatures with two reconstruction algorithms: (1) inverse regression and, (2) compositing followed by variance match- ing (CVM). It is found that inverse regression tends to give large weighting to a small number of proxies and that the second approach (CVM) is more robust to varying proxy in- put. The choice of proxy records is one reason why differ- ent reconstructions show different ranges. A reconstruction using 13 proxy records extending back to AD 1000 shows a maximum pre-industrial temperature of 0.25 K (relative to the 1866 to 1970 mean). The standard error on this estimate, based on the residual in the calibration period, is 0.14 K. Instrumental temperatures for two recent years (1998 and 2005) have exceeded the pre-industrial estimated maximum by more than 4 standard deviations of the calibration period residual.

[1]  K. Briffa,et al.  Seeing the Wood from the Trees , 1999, Science.

[2]  Peter John Huybers,et al.  Comment on “Hockey sticks, principal components, and spurious significance” by S. McIntyre and R. McKitrick , 2005 .

[3]  Fritz H. Schweingruber,et al.  Fennoscandian summers from ad 500: temperature changes on short and long timescales , 1992 .

[4]  Gordon C. Jacoby,et al.  Increased temperature sensitivity and divergent growth trends in circumpolar boreal forests , 2005 .

[5]  E. Zorita,et al.  Deep soil temperature as proxy for surface air‐temperature in a coupled model simulation of the last thousand years , 2003 .

[6]  T. Schneider Analysis of Incomplete Climate Data: Estimation of Mean Values and Covariance Matrices and Imputation of Missing Values. , 2001 .

[7]  F. H. Schweingruber,et al.  Reduced sensitivity of recent tree-growth to temperature at high northern latitudes , 1998, Nature.

[8]  N. Chbouki Spatio-temporal characteristics of drought as inferred from tree-ring data in Morocco. , 1992 .

[9]  Edward R. Cook,et al.  The 'segment length curse' in long tree-ring chronology development for palaeoclimatic studies , 1995 .

[10]  Edward R. Cook,et al.  Calculating unbiased tree-ring indices for the study of climatic and environmental change , 1997 .

[11]  T. Wigley,et al.  On past temperatures and anomalous late‐20th‐century warmth , 2003 .

[12]  Malcolm K. Hughes,et al.  corrigendum: Global-scale temperature patterns and climate forcing over the past six centuries , 2004 .

[13]  D. Frank,et al.  Climate reconstructions: Low-frequency ambition and high-frequency ratification , 2004 .

[14]  S. Shiyatov,et al.  A continuous multimillennial ring-width chronology in Yamal, northwestern Siberia , 2002 .

[15]  M. Hughes,et al.  Optimal surface temperature reconstructions using terrestrial borehole data , 2003 .

[16]  P. Jones,et al.  Adjusting variance for sample-size in tree-ring chronologies and other regional-mean timeseries , 1997 .

[17]  Ross McKitrick,et al.  Reply to comment by Huybers on “Hockey sticks, principal components, and spurious significance” , 2005 .

[18]  G. Hegerl,et al.  Climate sensitivity constrained by temperature reconstructions over the past seven centuries , 2006, Nature.

[19]  J. Lean,et al.  The effect of increasing solar activity on the Sun's total and open magnetic flux during multiple cycles: Implications for solar forcing of climate , 2002 .

[20]  W. Soon,et al.  Comment on “On past temperatures and anomalous late‐20th century warmth” , 2003 .

[21]  D. Easterling,et al.  IPCC Workshop on Describing scientific Uncertainties in climate change to support analysis of risk and of options, National University of Ireland, Maynooth, Co. Kildare, Ireland 11-13 May, 2004 , 2004 .

[22]  Shaopeng Huang,et al.  Temperature trends over the past five centuries reconstructed from borehole temperatures , 2000, Nature.

[23]  E. Cook,et al.  Tests of the RCS Method for Preserving Low-Frequency Variability in Long Tree-Ring Chronologies , 2003 .

[24]  T. Wigley,et al.  Global temperature variations between 1861 and 1984 , 1986, Nature.

[25]  G. Hegerl,et al.  Detection of Human Influence on a New, Validated 1500-Year Temperature Reconstruction , 2007 .

[26]  D. Willard,et al.  Medieval Warm Period, Little Ice Age and 20th century temperature variability from Chesapeake Bay , 2003 .

[27]  T. V. Ommen,et al.  Observed climate variability and change , 2002 .

[28]  Gerd Bürger,et al.  Climate reconstruction by regression – 32 variations on a theme , 2006 .

[29]  Ross McKitrick,et al.  Hockey sticks, principal components, and spurious significance , 2005 .

[30]  K. Gajewski Late Holocene Climate Changes in Eastern North America Estimated from Pollen Data , 1988, Quaternary Research.

[31]  Malcolm K. Hughes,et al.  Was there a ‘medieval warm period’, and if so, where and when? , 1994 .

[32]  X. Qin,et al.  Cyclic rapid warming on centennial‐scale revealed by a 2650‐year stalagmite record of warm season temperature , 2003 .

[33]  Eduardo Zorita,et al.  Reconstructing Past Climate from Noisy Data , 2004, Science.

[34]  Gerd Bürger,et al.  Are multiproxy climate reconstructions robust? , 2005 .

[35]  Simon Brewer,et al.  The temperature of Europe during the Holocene reconstructed from pollen data , 2003 .

[36]  S. L. Weber,et al.  Solar irradiance forcing of centennial climate variability during the Holocene , 2004 .

[37]  Eugene R. Wahl,et al.  Reply to comment by Jason E. Smerdon et al. on “Robustness of proxy‐based climate field reconstruction methods” , 2008 .

[38]  Malcolm K. Hughes,et al.  Proxy-Based Northern Hemisphere Surface Temperature Reconstructions: Sensitivity to Method, Predictor Network, Target Season, and Target Domain , 2005 .

[39]  Michael E. Mann,et al.  Global surface temperatures over the past two millennia , 2003 .

[40]  K. Briffa Annual climate variability in the Holocene: interpreting the message of ancient trees , 2000 .

[41]  R. J. Adcock A Problem in Least Squares , 1878 .

[42]  Eugene R. Wahl,et al.  Robustness of the Mann, Bradley, Hughes reconstruction of Northern Hemisphere surface temperatures: Examination of criticisms based on the nature and processing of proxy climate evidence , 2007 .

[43]  J. Smerdon,et al.  Borehole climate reconstructions: Spatial structure and hemispheric averages , 2003 .

[44]  Keith R. Briffa,et al.  The Spatial Extent of 20th-Century Warmth in the Context of the Past 1200 Years , 2006, Science.

[45]  J. Oerlemans Extracting a Climate Signal from 169 Glacier Records , 2005, Science.

[46]  Eduardo Zorita,et al.  Response to Comment on "Reconstructing Past Climate from Noisy Data" , 2006, Science.

[47]  S. Arrhenius “On the Infl uence of Carbonic Acid in the Air upon the Temperature of the Ground” (1896) , 2017, The Future of Nature.

[48]  Victor Brovkin,et al.  Assessing climate forcings of the Earth system for the past millennium , 2003 .

[49]  T. Wigley,et al.  Response “[to Comment on ‘On past temperatures and anomalous late‐20th‐century warmth’”] , 2003 .

[50]  E. Cook,et al.  Extra-tropical Northern Hemisphere land temperature variability over the past 1000 years , 2004 .

[51]  P. Jones,et al.  Low-frequency temperature variations from a northern tree ring density , 2001 .

[52]  J. Hosking Modeling persistence in hydrological time series using fractional differencing , 1984 .

[53]  P. Stott,et al.  Estimating signal amplitudes in optimal fingerprinting, part I: theory , 2003 .

[54]  Huang,et al.  Climate change record in subsurface temperatures: A global perspective , 1998, Science.

[55]  Crowley,et al.  Atmospheric science: Methane rises from wetlands , 2011, Nature.

[56]  Ross McKitrick,et al.  Corrections to the Mann et. al. (1998) Proxy Data Base and Northern Hemispheric Average Temperature Series , 2003 .

[57]  J. Bernabo,et al.  Quantitative Estimates of Temperature Changes Over the Last 2700 Years in Michigan Based on Pollen Data , 1981, Quaternary Research.

[58]  Shi Yafeng,et al.  General characteristics of temperature variation in China during the last two millennia , 2002 .

[59]  L. Graumlich,et al.  HOLOCENE DYNAMICS OF TREELINE FORESTS IN THE SIERRA NEVADA , 1997 .

[60]  E. Zorita,et al.  Comment on “Hockey sticks, principal components, and spurious significance” by S. McIntyre and R. McKitrick , 2005 .

[61]  Shaopeng Huang Merging information from different resources for new insights into climate change in the past and future , 2004 .

[62]  Ross McKitrick,et al.  The M&M Critique of the MBH98 Northern Hemisphere Climate Index: Update and Implications , 2005 .

[63]  Axel Timmermann,et al.  Internal and forced climate variability during the last millennium: a model-data comparison using ensemble simulations , 2005 .

[64]  K. Holmgren,et al.  Highly variable Northern Hemisphere temperatures reconstructed from low- and high-resolution proxy data , 2005, Nature.

[65]  S. Johnsen,et al.  Inter-comparison of Ice Core δ(18O) and Precipitation Records from Sites in Canada and Greenland over the last 3500 years and over the last few Centuries in detail using EOF Techniques. , 1996 .

[66]  J. Overpeck,et al.  Abrupt changes in the Asian southwest monsoon during the Holocene and their links to the North Atlantic Ocean , 2003, Nature.

[67]  P. Jones,et al.  Hemispheric and Large-Scale Surface Air Temperature Variations: An Extensive Revision and an Update to 2001. , 2003 .

[68]  T. Wigley,et al.  A Stellar View on Solar Variations and Climate , 2004, Science.

[69]  T. Crowley,et al.  How Warm Was the Medieval Warm Period , 2000 .

[70]  Eugene R. Wahl,et al.  Testing the Fidelity of Methods Used in Proxy-Based Reconstructions of Past Climate , 2005 .

[71]  Fritz H. Schweingruber,et al.  Tree-ring variables as proxy-climate indicators: Problems with low-frequency signals , 1996 .

[72]  Malcolm K. Hughes,et al.  Global-scale temperature patterns and climate forcing over the past six centuries , 1998, Nature.

[73]  G. Clow The extent of temporal smearing in surface-temperature histories derived from borehole temperature measurements , 1992 .

[74]  G. Jacoby,et al.  On the long‐term context for late twentieth century warming , 2006 .

[75]  V. Lamarche Frequency-Dependent Relationships Between Tree-Ring Series Along an Ecological Gradient and Some Dendroclimatic Implications , 1974 .

[76]  S. Weber A timescale analysis of the Northern Hemisphere temperature response to volcanic and solar forcing , 2005 .

[77]  David Frank,et al.  Effect of scaling and regression on reconstructed temperature amplitude for the past millennium , 2005 .

[78]  H. Rodhe,et al.  MAN-MADE VERSUS NATURAL CLIMATE CHANGE , 1999 .

[79]  Michael E. Mann,et al.  Climate over past millennia , 2004 .

[80]  P. Jones,et al.  Unusual twentieth-century summer warmth in a 1,000-year temperature record from Siberia , 1995, Nature.

[81]  T. P. Barnett,et al.  High-resolution palaeoclimatic records for the last millennium: interpretation, integration and comparison with General Circulation Model control-run temperatures , 1998 .

[82]  Fritz H. Schweingruber,et al.  Tree-ring width and density data around the Northern Hemisphere: Part 1, local and regional climate signals , 2002 .

[83]  Willie Soon,et al.  Proxy climatic and environmental changes of the past 1000 years , 2002 .

[84]  K. Mosegaard,et al.  Past temperatures directly from the greenland ice sheet , 1998, Science.

[85]  M. Barbetti,et al.  Climatic Change in Tasmania Inferred from a 1089-Year Tree-Ring Chronology of Huon Pine , 1991, Science.

[86]  K. Pearson Mathematical Contributions to the Theory of Evolution. III. Regression, Heredity, and Panmixia , 1896 .

[87]  M. Hughes,et al.  Northern hemisphere temperatures during the past millennium: Inferences, uncertainties, and limitations , 1999 .

[88]  P. Jones,et al.  A 7400-year tree-ring chronology in northern Swedish Lapland: natural climatic variability expressed on annual to millennial timescales , 2002 .

[89]  John N. Tsitsiklis,et al.  Introduction to Probability , 2002 .

[90]  R. Villalba,et al.  A 3620-Year Temperature Record from Fitzroya cupressoides Tree Rings in Southern South America , 1993, Science.

[91]  R. Harris,et al.  Snow effect on North American ground temperatures, 1950-2002 , 2005 .

[92]  R. Siegwolf,et al.  Carbon Flux and Growth in Mature Deciduous Forest Trees Exposed to Elevated CO2 , 2005, Science.

[93]  Edward R. Cook,et al.  Low-Frequency Signals in Long Tree-Ring Chronologies for Reconstructing Past Temperature Variability , 2002, Science.

[94]  D. Rubin,et al.  Statistical Analysis with Missing Data. , 1989 .

[95]  S. Idso,et al.  Detecting the aerial fertilization effect of atmospheric CO2 enrichment in tree‐ring chronologies , 1993 .

[96]  R. McKitrick,et al.  Reply to comment by von Storch and Zorita on “Hockey sticks, principal components, and spurious significance” , 2005 .

[97]  Malcolm K. Hughes,et al.  Climate in Medieval Time , 2003, Science.

[98]  M. Hughes,et al.  Frequency-Dependent Climate Signal in Upper and Lower Forest Border Tree Rings in the Mountains of the Great Basin , 2003 .