Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-13T16:58:30.086Z Has data issue: false hasContentIssue false

Chapter 15 - Model error in weather and climate forecasting

Published online by Cambridge University Press:  03 December 2009

Myles Allen
Affiliation:
Department of Physics, University of Oxford
David Frame
Affiliation:
Department of Physics, University of Oxford
Jamie Kettleborough
Affiliation:
Space Science and Technology Department, Rutherford Appleton Laboratory, Didcot
David Stainforth
Affiliation:
Department of Physics, University of Oxford
Tim Palmer
Affiliation:
European Centre for Medium-Range Weather Forecasts
Renate Hagedorn
Affiliation:
European Centre for Medium-Range Weather Forecasts
Get access

Summary

As if someone were to buy several copies of the morning newspaper to assure himself that what it said was true.

Ludwig Wittgenstein

Introduction

The phrase ‘model error’ means different things to different people, frequently arousing surprisingly passionate emotions. Everyone accepts that all models are wrong, but to some this is simply an annoying caveat on otherwise robust (albeit model-dependent) conclusions, while to others it means that no inference based on ‘electronic storytelling’ can be taken seriously at all. This chapter will focus on how to quantify and minimise the cumulative effect of model ‘imperfections’ (errors by any other name, but we are trying to avoid inflammatory language) that either have not been eliminated because of incomplete observations/understanding or cannot be eliminated because they are intrinsic to the model's structure. We will not provide a recipe for eliminating these imperfections, but rather some ideas on how to live with them. Live with them we must, because no matter how clever model developers, or how fast supercomputers, become, these imperfections will always be with us and represent the hardest source of uncertainty to quantify in a weather or climate forecast (Smith, this volume). This is not meant to underestimate the importance of identifying and improving representations of dynamics (see Hoskins, this volume) or parametrisations (see Palmer, this volume) or existing (and planned) ensemble-based forecast systems (Anderson, Buizza, this volume), merely to draw attention to the fact that our models will always be subject to error or inadequacy (Smith, this volume), and that this fact is especially chronic in those cases where we lack the ability to use conventional verification/falsification procedures (i.e. the climate forecasting problem).

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allen, M. R. (1999). Do-it-yourself climate prediction. Nature, 401, 642CrossRefGoogle Scholar
Allen, M. R. and Ingram, W. J. (2002). Constraints on future climate change and the hydrological cycle. Nature, 419, 224–32CrossRefGoogle Scholar
Allen, M. R. and Stainforth, D. A. (2002). Towards objective probabilistic climate forecasting. Nature, 419, 228CrossRefGoogle Scholar
Allen, M. R., Stott, P. A., Mitchell, J. F. B., Schnur, R. and Delworth, T. (2000). Quantifying the uncertainty in forecasts of anthropogenic climate change. Nature, 407, 617–20CrossRefGoogle ScholarPubMed
Andronova, N. G. and Schlesinger, M. E. (2000). Causes of global temperature changes during the 19th and 20th centuries. Geophys. Res. Lett., 27, 2137–3140CrossRefGoogle Scholar
Bertrand, J. (1889). Calcul des Probabilities. Gauthier-Villars, ParisGoogle Scholar
Buizza, R., Miller, M. and Palmer, T. N. (1999). Stochastic representation of model uncertainties in the ECMWF Ensemble Prediction System. Quart. J. Roy. Meteor. Soc., 125B, 2887–908CrossRefGoogle Scholar
Covey, C., AchutaRao, K. M., Lambert, S. J. and , K. E. Taylor (2000). Intercomparison of Present and Future Climates Simulated by Coupled Ocean-Atmosphere GCMs. Technical Report 66. Program for Climate Model Diagnosis and Intercomposition (PCMDI)CrossRefGoogle Scholar
Craig, P. S., Goldstein, M., Rougier, J. C. and Seheult, A. H. (2001). Bayesian forecasting for complex systems using computer simulators. J. Am. Stat. Assoc., 96, 717–29CrossRefGoogle Scholar
ECMWF (2002). Talagrand diagram. Online: www.ecmwf.int/products/forecasts/guide/Talagrand_diagram.html
Forest, C. E., Allen, M. R., Stone, P. H. and Sokolov, A. P. (2000). Constraining uncertainties in climate models using climate change detection techniques. Geophys. Res. Lett., 27, 569–72CrossRefGoogle Scholar
Forest, C. E., Stone, P. H., Sokolov, A. P., Allen, M. R. and Webster, M. D. (2002). Quantifying uncertainties in climate system properties with the use of recent climate observations. Science, 295, 113–17CrossRefGoogle ScholarPubMed
Fraassen, B. C. (1989). Laws and Symmetry. Clarendon PressCrossRefGoogle Scholar
Frame, D. J., Booth, B. B. B., Kettleborough, J. A., et al. (2005). Constraining climate forecasts: the role of prior assumptions. Geophys. Res. Lett., 32, doi: 10.1029/2004GL022241CrossRefGoogle Scholar
Giorgi, F.and Mearns, L. O. (2002). Calculation of average, uncertainty range, and reliability of regional climate changes from AOGCM simulations via the reliability ensemble averaging (REA) method. J. Climate, 15, 1141–582.0.CO;2>CrossRefGoogle Scholar
Goldstein, M.and Rougier, J. (2004). Probabilistic formulations for transferring inferences from mathematical models to physical systems. SIAM J. Sci. Comput. 26, 467–87CrossRefGoogle Scholar
Goldstein, M. and Rougier, J. (2005). Probabilistic formulations for transferring inferences from mathematical models to physical systems. SIAM J. Sci. Comput. 26, 467–87CrossRefGoogle Scholar
Gregory, J. M., Stouffer, R., Raper, S., Rayner, N. and Stott, P. A. (2002). An observationally-based estimate of the climate sensitivity. J. Climate, 15, 3117–212.0.CO;2>CrossRefGoogle Scholar
Hansen, J., Russell, G., Lacis, A., et al. (1985). Climate response times: dependence on climate sensitivity and ocean mixing. Science, 229, 857–9CrossRefGoogle ScholarPubMed
Hansen, J. A.and Smith, L. A. (2001). Probabilistic noise reduction. Tellus, 5, 585–98CrossRefGoogle Scholar
Heidbreder, G. R. (1996).Maximum Entropy and Bayesian Methods. Kluwer Academic PublishersCrossRefGoogle Scholar
Houghton, J. T., Ding, Y., Griggs, D. J., et al. (eds.) (2001). Climate Change 2001: The Science of Climate Change. Cambridge University PressGoogle Scholar
Howson, C. and Urbach, P. (1993). Scientific Reasoning: The Bayesian Approach. Open CourtGoogle Scholar
Jaynes, E. T.(2003). Probability Theory: The Logic of Science. Cambridge University PressCrossRefGoogle Scholar
Jewson, S. P.and Caballero, R. (2003). The use of weather forecasts in the pricing of weather derivatives. Meteorol. Appl. 10, 367–76CrossRefGoogle Scholar
Judd, K. (2003). Nonlinear state estimation, indistinguishable states and the extended Kalman filter. Physica D, 183, 273–81CrossRefGoogle Scholar
Kass, R. and Wassermann, L. (1996). The selection of prior distribution by formal rules. J. Am. Stat. Assoc., 91, 1343–70CrossRefGoogle Scholar
Kennedy, M. and O'Hagan, A. (2001). Bayesian calibration of computer models. J. Roy. Stat. Soc. B, 63, 425–64CrossRefGoogle Scholar
Keynes, J. M. (1921). A Treatise on Probability. Part I. MacmillanGoogle Scholar
Knutti, R., Stocker, T. F., Joos, F. and Plattner, G. K. (2002). Constraints on radiative forcing and future climate change from observations and climate model ensembles. Nature, 416, 719–23CrossRefGoogle ScholarPubMed
Lea, D. J., Allen, M. R. and Haine, T. W. N. (2002). Sensitivity analysis of the climate of a chaotic system. Tellus, 52A, 523–32Google Scholar
Levitus, S., Antonov, J. I., Boyer, T. P. and Stephens, C. (2000). Warming of the world ocean. Science, 287, 2225–9CrossRefGoogle Scholar
Levitus, S., Antonov, J. I. and Boyer, T. P. (2005). Warming of the world ocean: 1955–2003. Geophys. Res. Lett., 32, L02604CrossRefGoogle Scholar
Lorenz, E. N. (1963). Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130–412.0.CO;2>CrossRefGoogle Scholar
Molteni, F., Buizza, R., Palmer, T. N. and Petroliagis, T. (1996). The ECMWF ensemble prediction system: methodology and validation. Quart. J. Roy. Meteor. Soc., 122A, 73–119CrossRefGoogle Scholar
Moore, A. M. and Kleeman, R. (1999). Stochastic forcing of ENSO by the intraseasonal oscillation. J. Climate, 12, 1199–2202.0.CO;2>CrossRefGoogle Scholar
Morgan, M. G. and Keith, D. W. (1995). Subjective judgements by climate experts. Environ. Sci. Technol., 29, 468–76Google Scholar
Murphy, J., Sexton, D. M. H., Barnett, D. N., et al. (2004). Quantification of modelling uncertainties in a large ensemble of climate change simulations. Nature, 430, 768–72CrossRefGoogle Scholar
Mylne, K. R., Evans, R. E. and Clark, R. T. (2002). Multi-model multi-analysis ensembles in quasi-operational medium-range forecasting. Quart. J. Roy. Meteor. Soc., 128, 361–84CrossRefGoogle Scholar
Nolan, D. S. and Farrell, B. F. (1999). The intensification of two-dimensional swirling flows by stochastic asymmetric forcing. J. Atmos. Sci., 56, 3937–622.0.CO;2>CrossRefGoogle Scholar
Palmer, T. N. (2000). Predicting uncertainty in forecasts of weather and climate. Rep. Prog. Phys., 63, 71–116CrossRefGoogle Scholar
Palmer, T. N. and Raisanen, J. (2002). Quantifying the risk of extreme seasonal precipitation events in a changing climate. Nature, 415, 512–14CrossRefGoogle Scholar
Palmer, T. N., Buizza, R., Molteni, F., Chen, Y. Q. and Corti, S. (1994). Singular vectors and the predictability of weather and climate. Philos. Tr. Roy. Soc., S-A 348, 459–75CrossRefGoogle Scholar
Puri, K., Barkmeijer, J. and Palmer, T. N. (2001). Ensemble prediction of tropical cyclones using targeted diabatic singular vectors. Quart. J. Roy. Meteor. Soc., 127B, 709–31CrossRefGoogle Scholar
Rosenkrantz, R. D. (1977). Inference, Method and Decision: Towards a Bayesian Philosophy of Science. Reidel, D.CrossRefGoogle Scholar
Roulston, M. S. and Smith, L. A. (2002). Evaluating probabilistic forecasts using information theory. Mon. Weather Rev., 130, 1653–602.0.CO;2>CrossRefGoogle Scholar
Schneider, S. H. (2002). Can we estimate the likelihood of climatic changes at 2100?Climatic Change, 52, 441–51CrossRefGoogle Scholar
Smith, L. A. (1995). Accountability and error in nonlinear forecasting. In Proceedings of the 1995 Seminar on Predictability, pp. 351–68. ECMWFGoogle Scholar
Smith, L. A. (2000). Disentangling uncertainty and error: on the predictability of nonlinear systems. In Nonlinear Dynamics and Statistics, ed. A. I. Meas, pp. 31–64. BirkhauserGoogle Scholar
Smith, L. A. (2002).What might we learn from climate forecasts?Proc. Nat. Acad. Sci., 99, 2487–92CrossRefGoogle ScholarPubMed
Stainforth, D., Kettleborough, J., Allen, M., Collins, M., Heaps, A. and Murphy, J. (2002). Distributed computing for public-interest climate modeling research. Comput. Sci. Eng., 4, 82–9CrossRefGoogle Scholar
Stainforth, D. A., Aina, T., Christensen, C., et al. (2004). Evaluating uncertainty in the climate response to changing levels of greenhouse gases. Nature, 433, 403–6CrossRefGoogle Scholar
Stott, P. A. and Kettleborough, J. A. (2002). Origins and estimates of uncertainty in predictions of twenty-first century temperature rise. Nature, 416, 723–6CrossRefGoogle ScholarPubMed
Tebaldi, C., Smith, R. L., Nychka, D. and Mearns, L. O. (2005). Quantifying uncertainty in projections of regional climate change: a Bayesian approach to the analysis of multimodel ensembles. J. Climate, 18, 1524–40CrossRefGoogle Scholar
Toth, Z. and Kalnay, E. (1997). Ensemble forecasting at NCEP and the breeding method. Mon. Weather Rev., 125, 3297–3192.0.CO;2>CrossRefGoogle Scholar
Weatherford, R. (1982). Philosophical Foundations of Probability Theory. Routledge & Kegan PaulGoogle Scholar
Wigley, T. M. L. and Raper, S. C. B. (1993). Sea level changes due to thermal expansion of the oceans. In Climate and Sea Level Change: Observations, Projections and Implications, ed. Warrick, R. A., Barrow, E. M. and Wigley, T. M. L.. Cambridge University PressGoogle Scholar
Wigley, T. M. L. and Raper, S. C. B. (2001). Interpretation of high projections for global-mean warming. Science, 293, 451–4CrossRefGoogle ScholarPubMed
Wigley, T. M. L., , C. M. Ammann, Santer, B. D. and Raper, S. C. B. (2005). The effect of climate sensitivity on the response to volcanic forcing. J. Geophys. Res., 110, D09107CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×