Abstract

We demonstrate the practicality and effectiveness of using a Green's functions estimation approach for adjusting uncertain parameters in an Earth System Model (ESM). This estimation approach had previously been applied to an intermediate-complexity climate model and to individual ESM components, e.g., ocean, sea-ice, or carbon-cycle components. Here, the Green's functions approach is applied to a state-of-the-art ESM that comprises a global atmosphere-land configuration of the Goddard Earth Observing System (GEOS) coupled to an ocean and sea-ice configuration of the Massachusetts Institute of Technology general circulation model (MITgcm). Horizontal grid spacing is approximately 110 km for GEOS and 37–110 km for MITgcm. In addition to the reference GEOS-MITgcm simulation, we carry out a series of model sensitivity experiments, in which 20 uncertain parameters are perturbed. These control parameters can be used to adjust sea-ice, microphysics, turbulence, radiation, and surface schemes in the coupled simulation. We define eight observational targets: sea-ice fraction, net surface shortwave radiation, downward longwave radiation, near-surface temperature, sea surface temperature, sea surface salinity, and ocean temperature and salinity at 300 m. We applied the Green's functions approach to optimize the values of the 20 control parameters so as to minimize a weighted least-squares distance between the model and the eight observational targets. The new experiment with the optimized parameters resulted in a total cost reduction of 9 % relative to a simulation that had already been adjusted using other methods. The optimized experiment attained a balanced cost reduction over most of the observational targets. We also report on results from a set of sensitivity experiments that are not used in the final optimized simulation but helped explore options and guided the optimization process. These experiments include an assessment of sensitivity to the number of control parameters and to the selection of observational targets and weights in the cost function. Based on these sensitivity experiments, we selected a specific definition for the cost function. The sensitivity experiments also revealed a decreasing overall cost as the number of control variables was increased. In summary, we recommend using the Green's functions estimation approach as an additional fine-tuning step in the model development process. The method is not a replacement for modelers' experience in choosing and adjusting sensitive model parameters. Instead, it is an additional practical and effective tool for carrying out final adjustments of uncertain ESM parameters.

Highlights

  • Earth System Models (ESMs) include various parameters that govern the representation of unresolved, unrepresented, or 25 under-observed processes in the models

  • We demonstrate the practicality and effectiveness of using a Green’s functions estimation approach for adjusting uncertain parameters in an Earth System Model (ESM)

  • The results described here include a proof of concept for the use of the methodology in an ESM and the examination 80 of various ‘flavors‘ of the optimization process

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Summary

Introduction

Earth System Models (ESMs) include various parameters that govern the representation of unresolved, unrepresented, or 25 under-observed processes in the models. The most sensitive parameters are typically adjusted during the last step of model development relative to observational targets. Parameter adjustment aims to improve the representation of various processes or key state fields in the model relative to a pre-determined set of observational targets (Mauritsen et al, 30 2012; Hourdin et al, 2017). Sequential ESM tuning involves running many model sensitivity experiments, where one or more model parameters have been perturbed and comparing the results with one or more observational targets. This tuning exercise is highly dependent on the experience and expertise of model developers, and on the application for which the model will be used

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