Mitigation of coupled model biases induced by dynamical core misfitting through parameter optimization: simulation with a simple pycnocline prediction model

Abstract. Imperfect dynamical core is an important source of model biases that adversely impact on the model simulation and predictability of a coupled system. With a simple pycnocline prediction model, in this study, we show the mitigation of model biases through parameter optimization when the assimilation model consists of a "biased" time-differencing. Here, the "biased" time-differencing is defined by a different time-differencing scheme from the "truth" model that is used to produce "observations", which generates different mean values, climatology and variability of the assimilation model from the "truth" model. A series of assimilation experiments is performed to explore the impact of parameter optimization on model bias mitigation and climate estimation, as well as the role of different media parameter estimations. While the stochastic "physics" implemented by perturbing parameters can enhance the ensemble spread significantly and improve the representation of the model ensemble, signal-enhanced parameter estimation is able to mitigate the model biases on mean values and climatology, thus further improving the accuracy of estimated climate states, especially for the low-frequency signals. In addition, in a multiple timescale coupled system, parameters pertinent to low-frequency components have more impact on climate signals. Results also suggest that deep ocean observations may be indispensable for improving the accuracy of climate estimation, especially for low-frequency signals.

[1]  Xuefeng Zhang,et al.  Parameter Optimization in an Intermediate Coupled Climate Model with Biased Physics , 2015 .

[2]  Xinrong Wu,et al.  A study of impact of the geographic dependence of observing system on parameter estimation with an intermediate coupled model , 2013, Climate Dynamics.

[3]  Jeffrey L. Anderson A Local Least Squares Framework for Ensemble Filtering , 2003 .

[4]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[5]  R. Asselin,et al.  Frequency Filter for Time Integrations , 2003 .

[6]  S. Klein,et al.  GFDL's CM2 Global Coupled Climate Models. Part I: Formulation and Simulation Characteristics , 2006 .

[7]  A. Rosati,et al.  System Design and Evaluation of Coupled Ensemble Data Assimilation for Global Oceanic Climate Studies , 2007 .

[8]  Stephen Cusack,et al.  Improved Surface Temperature Prediction for the Coming Decade from a Global Climate Model , 2007, Science.

[9]  Jeffrey L. Anderson An Ensemble Adjustment Kalman Filter for Data Assimilation , 2001 .

[10]  Gang Tao,et al.  Adaptive Control Design and Analysis , 2003 .

[11]  Shaoqing Zhang,et al.  Impact of observation‐optimized model parameters on decadal predictions: Simulation with a simple pycnocline prediction model , 2011 .

[12]  Shaoqing Zhang,et al.  A Study of Impacts of Coupled Model Initial Shocks and State–Parameter Optimization on Climate Predictions Using a Simple Pycnocline Prediction Model , 2011 .

[13]  A. Gnanadesikan,et al.  A simple predictive model for the structure of the oceanic pycnocline , 1999, Science.

[14]  W. Collins,et al.  The Community Climate System Model Version 3 (CCSM3) , 2006 .

[15]  Richard Asselin,et al.  Frequency Filter for Time Integrations , 1972 .

[16]  R. Kulhavý Implementation of Bayesian parameter estimation in adaptive control and signal processing , 1993 .

[17]  Shaoqing Zhang,et al.  Impact of spatially and temporally varying estimates of error covariance on assimilation in a simple atmospheric model , 2003 .

[18]  Xuefeng Zhang,et al.  Correction of biased climate simulated by biased physics through parameter estimation in an intermediate coupled model , 2016, Climate Dynamics.

[19]  Xinrong Wu,et al.  Impact of Geographic-Dependent Parameter Optimization on Climate Estimation and Prediction: Simulation with an Intermediate Coupled Model , 2012 .

[20]  T. Delworth,et al.  A study of enhancive parameter correction with coupled data assimilation for climate estimation and prediction using a simple coupled model , 2012 .