Is the North Atlantic Oscillation a random walk

The North Atlantic Oscillation (NAO) is a major mode of large-scale climate variability which contains a broad spectrum of variations. There are substantial contributions from short-term 2–5 year variations, which have clearly marked teleconnections. Decadal trends are also apparent in the historical record of the NAO and may be due to either stochastic or deterministic processes. Evidence is presented that suggests the NAO exhibits ‘long-range’ dependence having winter values residually correlated over many years. Several simple stochastic models have been used to fit the NAO SLP (sea-level pressure) wintertime index over the period 1864–1998, and their performance at predicting the following year has been assessed. Long-range fractionally integrated noise provides a better fit than does either stationary red noise or a non-stationary random walk. Copyright © 2000 Royal Meteorological Society

[1]  J. Rogers The Association between the North Atlantic Oscillation and the Southern Oscillation in the Northern Hemisphere , 1984 .

[2]  K. Hasselmann,et al.  Stochastic climate models , Part I 1 Application to sea-surface temperature anomalies and thermocline variability , 2010 .

[3]  Russ E. Davis,et al.  Predictability of Sea Surface Temperature and Sea Level Pressure Anomalies over the North Pacific Ocean , 1976 .

[4]  H. Loon,et al.  The Seesaw in Winter Temperatures between Greenland and Northern Europe. Part I: General Description , 1978 .

[5]  Jeffery C. Rogers,et al.  Patterns of Low-Frequency Monthly Sea Level Pressure Variability (1899–1986) and Associated Wave Cyclone Frequencies , 1990 .

[6]  Kevin E. Trenberth,et al.  Recent Observed Interdecadal Climate Changes in the Northern Hemisphere , 1990 .

[7]  D. Stephenson Use of the “Odds Ratio” for Diagnosing Forecast Skill , 2000 .

[8]  Kevin E. Trenberth,et al.  Quasi-Biennial Fluctuations in Sea Level Pressures over the Northern Hemisphere , 1984 .

[9]  J. M. Mitchell,et al.  SURFACE SIGNS OF THE BIENNIAL ATMOSPHERIC PULSE , 1963 .

[10]  H. Flohn,et al.  Climate, present, past and future, 1. Fundamentals and climate now , 1973 .

[11]  R. A. Madden,et al.  Estimates of the Natural Variability of Time-Averaged Sea-Level Pressure , 1976 .

[12]  J. Angell,et al.  Quasi-Biennial Variations in the ``CENTERS of Action'' , 1969 .

[13]  G. Meehl The South Asian Monsoon and the Tropospheric Biennial Oscillation , 1997 .

[14]  F. Loewe THE TEMPERATURE SEE‐SAW BETWEEN WESTERN GREENLAND AND EUROPE* , 1966 .

[15]  Louis J. Bajuk,et al.  Interpretation of Interdecadal Trends in Northern Hemisphere Surface Air Temperature , 1996 .

[16]  B. Rajagopalan,et al.  Dominant Patterns of Climate Variability in the Atlantic Ocean Region During the Last 136 Years , 1998 .

[17]  J. Neumann Distribution of the Ratio of the Mean Square Successive Difference to the Variance , 1941 .

[18]  Y. Kushnir,et al.  Interdecadal Variations in North Atlantic Sea Surface Temperature and Associated Atmospheric Conditions , 1994 .

[19]  P. Imkeller,et al.  Stochastic climate models , 2001 .

[20]  P. Jones,et al.  The spatial and temporal characteristics of northern Hemisphere surface air temperature variations , 1983 .

[21]  B. Planque,et al.  Calanus and environment in the eastern North Atlantic. 2. Role of the North Atlantic Oscillation on Calanus finmarchicus and C. helgolandicus , 1996 .

[22]  K. Pearson,et al.  Biometrika , 1902, The American Naturalist.

[23]  Edward R. Cook,et al.  A reconstruction of the North Atlantic Oscillation using tree-ring chronologies from North America and Europe , 1998 .

[24]  Carl Wunsch,et al.  The Interpretation of Short Climate Records, with Comments on the North Atlantic and Southern Oscillations , 1999 .

[25]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[26]  P. Bloomfield Trends in global temperature , 1992 .

[27]  A. Raftery,et al.  Space-time modeling with long-memory dependence: assessing Ireland's wind-power resource. Technical report , 1987 .

[28]  Balaji Rajagopalan,et al.  Dominant Patterns of Climate Variability in the Atlantic Ocean during the Last 136 Years , 1999 .

[29]  K. Hasselmann Stochastic climate models Part I. Theory , 1976 .

[30]  Kevin F. Trenberth Atmospheric Quasi-Biennial Oscillations , 1980 .

[31]  Jan Beran,et al.  Statistics for long-memory processes , 1994 .

[32]  Murad S. Taqqu,et al.  Some long‐run properties of rainfall records in Italy , 1996 .

[33]  J. R. Wallis,et al.  Noah, Joseph, and Operational Hydrology , 1968 .

[34]  J. Bjerknes Atlantic Air-Sea Interaction , 1964 .

[35]  J. Angell,et al.  HARMONIC ANALYSIS OF THE BIENNIAL ZONAL-WIND AND TEMPERATURE REGIMES , 1963 .

[36]  Clara Deser,et al.  Surface Climate Variations over the North Atlantic Ocean during Winter: 1900–1989 , 1993 .

[37]  J. McWilliams,et al.  Stochasticity and Spatial Resonance in Interdecadal Climate Fluctuations , 1997 .

[38]  J. Hurrell Influence of variations in extratropical wintertime teleconnections on northern hemisphere temperature , 1996 .

[39]  John von Neumann,et al.  A Further Remark Concerning the Distribution of the Ratio of the Mean Square Successive Difference to the Variance , 1942 .

[40]  J. Wallace,et al.  The Arctic oscillation signature in the wintertime geopotential height and temperature fields , 1998 .

[41]  D. Wolfe,et al.  Nonparametric Statistical Methods. , 1974 .

[42]  P. Young,et al.  Time series analysis, forecasting and control , 1972, IEEE Transactions on Automatic Control.

[43]  H. Lamb Fundamentals and climate now , 1972 .

[44]  J. Hurrell,et al.  DECADAL VARIATIONS IN CLIMATE ASSOCIATED WITH THE NORTH ATLANTIC OSCILLATION , 1997 .

[45]  G. Brier Long‐range prediction of the zonal westerlies and some problems in data analysis , 1968 .

[46]  F. Nansen,et al.  Temperature variations in the north Atlantic Ocean and in the atmosphere introductory studies on the cause of climatological variations , 1920 .

[47]  J. Hurrell Decadal Trends in the North Atlantic Oscillation: Regional Temperatures and Precipitation , 1995, Science.

[48]  T. Wigley,et al.  Northern Hemisphere Surface Air Temperature Variations: 1851–1984 , 1986 .

[49]  H. Loon,et al.  The seesaw in winter temperatures between Greenland and Northern Europe. Part II: Some oceanic and atmospheric effects in middle and high latitudes , 1979 .

[50]  A. Barnston,et al.  On the Level and Origin of Seasonal Forecast Skill in Northern Europe , 1998 .

[51]  H. E. Hurst,et al.  Long-Term Storage Capacity of Reservoirs , 1951 .

[52]  R. Sothern,et al.  U.K. Wheat Quality and Economic Value are Dependent on the North Atlantic Oscillation , 1999 .

[53]  J. Geweke,et al.  THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS , 1983 .

[54]  K. Bryan,et al.  A predictability study of simulated North Atlantic multidecadal variability , 1997 .