A Simple, Coherent Framework for Partitioning Uncertainty in Climate Predictions

Stan Yip National Centre for Atmospheric Science, Exeter Climate Systems, University of Exeter, Exeter, United Kingdom

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Christopher A. T. Ferro National Centre for Atmospheric Science, Exeter Climate Systems, University of Exeter, Exeter, United Kingdom

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David B. Stephenson National Centre for Atmospheric Science, Exeter Climate Systems, University of Exeter, Exeter, United Kingdom

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Ed Hawkins National Centre for Atmospheric Science, Department of Meteorology, University of Reading, Reading, United Kingdom

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Abstract

A simple and coherent framework for partitioning uncertainty in multimodel climate ensembles is presented. The analysis of variance (ANOVA) is used to decompose a measure of total variation additively into scenario uncertainty, model uncertainty, and internal variability. This approach requires fewer assumptions than existing methods and can be easily used to quantify uncertainty related to model–scenario interaction—the contribution to model uncertainty arising from the variation across scenarios of model deviations from the ensemble mean. Uncertainty in global mean surface air temperature is quantified as a function of lead time for a subset of the Coupled Model Intercomparison Project phase 3 ensemble and results largely agree with those published by other authors: scenario uncertainty dominates beyond 2050 and internal variability remains approximately constant over the twenty-first century. Both elements of model uncertainty, due to scenario-independent and scenario-dependent deviations from the ensemble mean, are found to increase with time. Estimates of model deviations that arise as by-products of the framework reveal significant differences between models that could lead to a deeper understanding of the sources of uncertainty in multimodel ensembles. For example, three models show a diverging pattern over the twenty-first century, while another model exhibits an unusually large variation among its scenario-dependent deviations.

Corresponding author address: Stan Yip, University of Exeter, Harrison Building, North Park Road, Exeter EX4 4QF, United Kingdom. E-mail: c.y.yip@exeter.ac.uk

A comment/reply has been published regarding this article and can be found at http://journals.ametsoc.org/doi/abs/10.1175/JCLI-D-12-00527.1 and http://journals.ametsoc.org/doi/abs/10.1175/JCLI-D-12-00858.1

Abstract

A simple and coherent framework for partitioning uncertainty in multimodel climate ensembles is presented. The analysis of variance (ANOVA) is used to decompose a measure of total variation additively into scenario uncertainty, model uncertainty, and internal variability. This approach requires fewer assumptions than existing methods and can be easily used to quantify uncertainty related to model–scenario interaction—the contribution to model uncertainty arising from the variation across scenarios of model deviations from the ensemble mean. Uncertainty in global mean surface air temperature is quantified as a function of lead time for a subset of the Coupled Model Intercomparison Project phase 3 ensemble and results largely agree with those published by other authors: scenario uncertainty dominates beyond 2050 and internal variability remains approximately constant over the twenty-first century. Both elements of model uncertainty, due to scenario-independent and scenario-dependent deviations from the ensemble mean, are found to increase with time. Estimates of model deviations that arise as by-products of the framework reveal significant differences between models that could lead to a deeper understanding of the sources of uncertainty in multimodel ensembles. For example, three models show a diverging pattern over the twenty-first century, while another model exhibits an unusually large variation among its scenario-dependent deviations.

Corresponding author address: Stan Yip, University of Exeter, Harrison Building, North Park Road, Exeter EX4 4QF, United Kingdom. E-mail: c.y.yip@exeter.ac.uk

A comment/reply has been published regarding this article and can be found at http://journals.ametsoc.org/doi/abs/10.1175/JCLI-D-12-00527.1 and http://journals.ametsoc.org/doi/abs/10.1175/JCLI-D-12-00858.1

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