Skip to main content

Advertisement

Log in

Predicting weather regime transitions in Northern Hemisphere datasets

  • Published:
Climate Dynamics Aims and scope Submit manuscript

Abstract

A statistical learning method called random forests is applied to the prediction of transitions between weather regimes of wintertime Northern Hemisphere (NH) atmospheric low-frequency variability. A dataset composed of 55 winters of NH 700-mb geopotential height anomalies is used in the present study. A mixture model finds that the three Gaussian components that were statistically significant in earlier work are robust; they are the Pacific–North American (PNA) regime, its approximate reverse (the reverse PNA, or RNA), and the blocked phase of the North Atlantic Oscillation (BNAO). The most significant and robust transitions in the Markov chain generated by these regimes are PNA → BNAO, PNA → RNA and BNAO → PNA. The break of a regime and subsequent onset of another one is forecast for these three transitions. Taking the relative costs of false positives and false negatives into account, the random-forests method shows useful forecasting skill. The calculations are carried out in the phase space spanned by a few leading empirical orthogonal functions of dataset variability. Plots of estimated response functions to a given predictor confirm the crucial influence of the exit angle on a preferred transition path. This result points to the dynamic origin of the transitions.

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

Similar content being viewed by others

References

  • Breiman L (2001) Random forests. Mach Learn 45:5–32

    Article  Google Scholar 

  • Breiman L, Friedman J, Olshen R, Stone C (1984) Classification and regression trees. Wadsworth Press, Monterey, 368 pp

    Google Scholar 

  • Chang KI, Ghil M, Ide K, Lai CCA (2001) Transition to aperiodic variability in a wind-driven double-gyre circulation model. J Phys Oceanogr 31:1260–1286

    Article  Google Scholar 

  • Cheng XH, Wallace JM (1993) Cluster-analysis of the Northern-Hemisphere wintertime 500-hPa height field spatial patterns. J Atmos Sci 50: 2674–2696

    Article  Google Scholar 

  • Crommelin DT (2002) Homoclinic dynamics: a scenario for atmospheric ultra-low-frequency variability. J Atmos Sci 59:1533–1549

    Article  Google Scholar 

  • Crommelin DT (2003) Regime transitions and heteroclinic connections in a barotropic atmosphere. J Atmos Sci 60:229–246

    Article  Google Scholar 

  • Crommelin DT (2004) Observed nondiffusive dynamics in large-scale atmospheric flow. J Atmos Sci 61:2384–2396

    Article  Google Scholar 

  • D’Andrea F, Vautard R (2001) Extratropical low-frequency variability as a low-dimensional problem. Part I: A simplified model. Q J R Meteorol Soc 127:1357–1374

    Article  Google Scholar 

  • D’Andrea F, Vautard R (2002) Extratropical low-frequency variability as a low-dimensional problem. Part II: Stationarity and stability of large-scale equilibria. Q J R Meteorol Soc 128:1059–1073

    Article  Google Scholar 

  • D’Andrea F, Tibaldi S, Blackburn M, et al. (1998) Northern Hemisphere atmospheric blocking as simulated by 15 atmospheric general circulation models in the period 1979–1988. Clim Dyn 14:385–407

    Article  Google Scholar 

  • Deloncle A, Berk R, D’Andrea F, Ghil M (2007) Weather regime prediction using statistical learning. J Atmos Sci 64:1619–1635

    Article  Google Scholar 

  • Fraedrich K (1988) El Niño-Southern Oscillation predictability. Mon Wea Rev 116:1001–1012

    Article  Google Scholar 

  • Franzke C, Majda AJ, Vanden-Eijnden E (2005) Low-order stochastic mode reduction for a realistic barotropic model climate. J Atmos Sci 62:1722–1745

    Article  Google Scholar 

  • Ghil M (1987) Dynamics, statistics and predictability of planetary flow regimes. In: Nicolis C, Nicolis G (eds) Irreversible phenomena and dynamical systems analysis in the geosciences. D. Reidel, Dordrecht, pp 241–283

  • Ghil M, Childress S (1987) Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory and climate dynamics. Springer, New York, 485 pp

    Google Scholar 

  • Ghil M, Robertson AW (2002) “Waves” vs. “particles” in the atmosphere’s phase space: a pathway to long-range forecasting? Proc Natl Acad Sci 99(Suppl. 1):2493–2500

    Article  Google Scholar 

  • Ghil, M, Kimoto M, Neelin JD (1991) Nonlinear dynamics and predictability in the atmospheric sciences. Rev Geophys, Supplement (U.S. Nat’l Rept. to Int’l Union of Geodesy & Geophys 1987–1990), 29(S):46–55, 10.1029/91RG0071

  • Guckenheimer J, Holmes P (1983) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, New York, 453 pp

    Google Scholar 

  • Hastie T, Tibshirani R, Friedman J (2001) The elements of statistical learning. Springer, New York, 552 pp

    Google Scholar 

  • Kalnay E et al (1996) The NCEP/NCAR 40-year reanalysis project. Bull Am Meteorol Soc 77:437–471

    Article  Google Scholar 

  • Kimoto M, Ghil M (1993a) Multiple flow regimes in the Northern Hemisphere winter. Part I: Methodology and hemispheric regimes. J Atmos Sci 50:2625–2643

    Article  Google Scholar 

  • Kimoto M, Ghil M (1993b) Multiple flow regimes in the Northern Hemisphere winter. Part II: Sectorial regimes and preferred transitions. J Atmos Sci 50:2645–2673

    Article  Google Scholar 

  • Kimoto M, Mukougawa H, Yoden S (1992) Medium-range forecast skill variation and blocking transition: a case study. Mon Weather Rev 120:1616–1627

    Article  Google Scholar 

  • Kondrashov D, Ide K, Ghil M (2004) Weather regimes and preferred transition paths in a three-level quasi-gesotrophic model. J Atmos Sci 61:568–587

    Article  Google Scholar 

  • Kondrashov D, Kravtsov S, Ghil M (2005) A hierarchy of data-based ENSO models. J Clim 18:4425–4444

    Article  Google Scholar 

  • Kondrashov D, Kravtsov S, Ghil M (2006) Empirical mode reduction in a model of extratropical low-frequency variability. J Atmos Sci 63:1859–1877

    Article  Google Scholar 

  • Kravtsov S, Kondrashov D, Ghil M (2005) Multiple regression modeling of nonlinear processes: derivation and applications to climatic variability. J Clim 18:4404–4424

    Article  Google Scholar 

  • Legras B, Ghil M (1985) Persistent anomalies, blocking and variations in atmospheric predictability. J Atmos Sci 42:433–471

    Article  Google Scholar 

  • Lorenz EN (1963) Deterministic nonperiodic flow. J Atmos Sci 20:130–141

    Article  Google Scholar 

  • Majda AJ, Timofeyev I, Vanden-Eijnden E (2003) Systematic strategies for stochastic mode reduction in climate. J Atmos Sci 60:1705–1722

    Article  Google Scholar 

  • Marshall J, Molteni F (1993) Towards a dynamical understanding of planetary-scale flow regimes. J Atmos Sci 50:1792–1818

    Article  Google Scholar 

  • Meacham SP (2000) Low-frequency variability in the wind-driven circulation. J Phys Oceanogr 30:269–293

    Article  Google Scholar 

  • Mo K, Ghil M (1987) Statistics and dynamics of persistent anomalies. J Atmos Sci 44:877–901

    Article  Google Scholar 

  • Mo K, Ghil M (1988) Cluster analysis of multiple planetary flow regimes. J Geophys Res 93D:10927–10952

    Article  Google Scholar 

  • Molteni F, Tibaldi S, Palmer TN (1990) Regimes in the wintertime circulation over northern extratropics. 1. observational evidence. Q J R Meteorol Soc 116:31–67

    Article  Google Scholar 

  • Monahan AH, Pandolfo L, Fyfe JC (2001) The preferred structure of variability of the Northern Hemisphere atmospheric circulation. Geophys Res Lett 28:1019–1022

    Article  Google Scholar 

  • Nadiga BT, Luce BP (2001) Global bifurcation of Shilnikov type in a double-gyre ocean model. J Phys Oceanogr 31:2669–2690

    Article  Google Scholar 

  • Namias J (1953) Thirty-day forecasting: A review of a ten-year experiment. Meteorol Monogr 2(6):83

    Google Scholar 

  • Namias J (1968) Long-range weather forecasting – history, current status and outlook. Bull Am Meteorol Soc 49:438–470

    Google Scholar 

  • Palmer TN, Doblas-Reyes FJ, Weisheimer A, Rodwell M (2007) Towards seamless prediction: calibration of climate-change projections using seasonal forecasts. Bull Am Meteorol Soc (submitted)

  • Pasmanter RA, Timmermann A (2003) Cyclic Markov chains with an application to an intermediate ENSO model. Nonlinear Proc Geophys 10:197–210

    Article  Google Scholar 

  • Pelly JL, Hoskins BJ (2003) How well does the ECMWF Ensemble Prediction System predict blocking. Q J R Meteorol Soc 129:1683–1702

    Article  Google Scholar 

  • Roulston MS, Smith LA (2004) The boy who cried wolf revisited: the impact of false alarm intolerance on cost-loss scenarios. Weather Forecast 19(2):391–397

    Article  Google Scholar 

  • Selten FM, Branstator G (2004) Preferred regime transition routes and evidence for an unstable periodic orbit in a baroclinic model. J Atmos Sci 61:2267–2282

    Article  Google Scholar 

  • Silverman BW (1986) Density estimation for statistics and data analysis. Chapman and Hall, London, 175 pp

  • Simonnet E, Ghil M, Ide K, Temam R, Wang S (2003a) Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part I: Steady-state solutions. J Phys Oceanogr 33:712–728

    Article  Google Scholar 

  • Simonnet E, Ghil M, Ide K, Temam R, Wang S (2003b) Low-frequency variability in shallow-water models of the wind-driven ocean circulation. Part II: Time-dependent solutions. J Phys Oceanogr 33:729–752

    Article  Google Scholar 

  • Simonnet E, Ghil M, Dijkstra HA (2005) Homoclinic bifurcations in the quasi-geostrophic double-gyre circulation. J Mar Res 63:931–956

    Article  Google Scholar 

  • Smyth P, Ide K, Ghil M (1999) Multiple regimes in Northern Hemisphere height fields via mixture model clustering. J Atmos Sci 56:3704–3723

    Article  Google Scholar 

  • Strong CM, Jin Ff, Ghil M (1995) Intraseasonal oscillations in a barotropic model with annual cycle, and their predictability. J Atmos Sci 52:2627–2642

    Article  Google Scholar 

  • Trevisan A (1995) Statistical properties of predictability from atmospheric analogs and the existence of multiple flow regimes. J Atmos Sci 52:3577–3592

    Article  Google Scholar 

  • Vannitsem S (2001) Toward a phase-space cartography of the short- and medium-range predictability of weather regimes. Tellus 53A:56–73

    Article  Google Scholar 

  • Vautard R, Mo K, Ghil M (1990) Statistical significance test for transition matrices of atmospheric Markov chains. J Atmos Sci 47:1926–1931

    Article  Google Scholar 

  • Von Storch H, Zwiers S (1999) Statistical analysis in climate research. Cambridge University Press, London, 484 pp

  • Weeks ER, Tian Y, Urbach JS, Ide K, Swinney HL, Ghil M (1997) Transitions between blocked and zonal flows in a rotating annulus with topography. Science 278:1598–1601

    Article  Google Scholar 

  • Winkler CR, Newman M, Sardeshmukh P (2001) A linear model of wintertime low-frequency variability. Part I: formulation and forecast skill. J Clim 14:4474–4494

    Article  Google Scholar 

Download references

Acknowledgments

We are grateful to Padhraic J. Smyth, who provided the code for the Gaussian mixture model, and to four anonymous reviewers, whose constructive comments greatly improved the presentation. Ann Henderson-Sellers attracted our attention to the work of Palmer et al. (2007), and Tim Palmer provided a preprint thereof. Our study was supported by DOE grant ER63251 (MG and DK) and by NSF grant SES04-37169 (RB and JS).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. Kondrashov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kondrashov, D., Shen, J., Berk, R. et al. Predicting weather regime transitions in Northern Hemisphere datasets. Clim Dyn 29, 535–551 (2007). https://doi.org/10.1007/s00382-007-0293-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00382-007-0293-2

Keywords

Navigation