A two-stage inflation method in parameter estimation to compensate for constant parameter evolution in Community Earth System Model

Zheqi Shen; Youmin Tang

doi:10.1007/s13131-021-1856-5

Volume 41 Issue 2

Feb. 2022

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Zheqi Shen, Youmin Tang. A two-stage inflation method in parameter estimation to compensate for constant parameter evolution in Community Earth System Model[J]. Acta Oceanologica Sinica, 2022, 41(2): 91-102. doi: 10.1007/s13131-021-1856-5

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Zheqi Shen, Youmin Tang. A two-stage inflation method in parameter estimation to compensate for constant parameter evolution in Community Earth System Model[J]. Acta Oceanologica Sinica, 2022, 41(2): 91-102. doi: 10.1007/s13131-021-1856-5

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A two-stage inflation method in parameter estimation to compensate for constant parameter evolution in Community Earth System Model

doi: 10.1007/s13131-021-1856-5

Zheqi Shen^{1, 2, 3},
Youmin Tang^{1, 2, 3, 4
,
,}

1.
Key Laboratory of Marine Hazards Forecasting of Ministry of Natural Resources, Hohai University, Nanjing 210098, China
2.
College of Oceanography, Hohai University, Nanjing 210098, China
3.
Southern Marine Science and Engineering Laboratory (Zhuhai), Zhuhai 519080, China
4.
Environmental Science and Engineering, University of Northern British Columbia, Prince George V2N 4Z9, Canada

Funds: The National Key Research and Development Program under contract No. 2017YFA0604202; the Fundamental Research Funds for the Central Universities under contract No. B210201022; the National Natural Science Foundation of China under contract Nos 42176003, 41690124, 41806032 and 41806038.

More Information

Corresponding author: ytang@sio.org.cn
Received Date: 2021-02-10
Accepted Date: 2021-05-20

Available Online: 2021-11-29

Publish Date: 2022-02-01

Abstract

Abstract

Parameter estimation is defined as the process to adjust or optimize the model parameter using observations. A long-term problem in ensemble-based parameter estimation methods is that the parameters are assumed to be constant during model integration. This assumption will cause underestimation of parameter ensemble spread, such that the parameter ensemble tends to collapse before an optimal solution is found. In this work, a two-stage inflation method is developed for parameter estimation, which can address the collapse of parameter ensemble due to the constant evolution of parameters. In the first stage, adaptive inflation is applied to the augmented states, in which the global scalar parameter is transformed to fields with spatial dependence. In the second stage, extra multiplicative inflation is used to inflate the scalar parameter ensemble to compensate for constant parameter evolution, where the inflation factor is determined according to the spread growth ratio of model states. The observation system simulation experiment with Community Earth System Model (CESM) shows that the second stage of the inflation scheme plays a crucial role in successful parameter estimation. With proper multiplicative inflation factors, the parameter estimation can effectively reduce the parameter biases, providing more accurate analyses.
- parameter estimation,
- data assimilation,
- inflation,
- CESM,
- EnKF

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References(33)

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