Abstract: his paper presents derivations of some analytical forms for spatial correlations of evolving random fields governed by a white-noise-driven damped diffusion equation that is the analog of autoregressive order 1 in time and ...

Abstract: his paper investigates the effects of spatial filtering on the ensemble-based estimate of the background error covariance matrix in an ensemble-based Kalman filter (EnKF). In particular, a novel kernel smoothing method ...

Abstract: The Taylor hypothesis (TH) as applied to rainfall is a proposition about the space?time covariance structure of the rainfall field. Specifically, it supposes that if a spatiotemporal precipitation field with a stationary ...

Abstract: urrent ensemble-based Kalman filter (EnKF) algorithms are not robust to gross observation errors caused by technical or human errors during the data collection process. In this paper, the authors consider two types of gross ...