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Technical Note: Propagating correlations in atmospheric inversions using different Kalman update smoothers

机译:技术说明:使用不同的卡尔曼更新平滑器在大气反演中传播相关性

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The scheme to propagate correlations between on-line and off-line state variables in atmospheric inversions using the fixed-lag Kalman smoother proposed in Bruhwileret al. (2005) is explained as a process to impose a balanced constraint on the on-line state variables. It is then extended to the fixed-lag ensemble square root Kalman smoother and fixed-lag square root sigma-point Kalman smoother, allowing us to treat nonlinear observation operators easily. Further, to constrain the posterior fluxes within their feasible ranges, the constrained fixed-lag Kalman smoother is presented and the variable transform technique is proposed for the other two smoothers. Comparisons between various methods and observational data are conducted using a synthetic inversion of atmospheric CH4 fluxes. The results indicate that our developed methods are good alternatives to existing methods for conducting sequential inversion of atmospheric trace gases. It is also shown that the benefit to include the correlations between on-line and off-line state variables is case dependent.
机译:使用Bruhwileret等人提出的固定滞后卡尔曼平滑器在大气反演中传播在线和离线状态变量之间的相关性的方案。 (2005)被解释为对在线状态变量施加平衡约束的过程。然后将其扩展到固定滞后集合平方根Kalman平滑器和固定滞后平方根sigma-point卡尔曼平滑器,使我们能够轻松地处理非线性观测算子。此外,为了将后验通量限制在可行范围内,提出了约束固定滞后卡尔曼平滑器,并针对其他两个平滑器提出了可变变换技术。利用大气CH 4 通量的合成反演进行了各种方法和观测数据之间的比较。结果表明,我们开发的方法可以很好地替代进行大气痕量气体顺序转化的现有方法。还表明,包括在线状态变量与离线状态变量之间的相关性的好处取决于大小写。

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