Quadratic polynomial regression using serial observation processing: Implementation within DART
Hodyss, D., Anderson, J. L., Collins, N., Campbell, W. F., & Reinecke, P. A. (2017). Quadratic polynomial regression using serial observation processing: Implementation within DART. Monthly Weather Review, 145, 4467-4479. doi:10.1175/MWR-D-17-0089.1
It is well known that the ensemble-based variants of the Kalman filter may be thought of as producing a state estimate that is consistent with linear regression. Here, it is shown how quadratic polynomial regression can be performed within a serial data assimilation framework. The addition of qua... Show moreIt is well known that the ensemble-based variants of the Kalman filter may be thought of as producing a state estimate that is consistent with linear regression. Here, it is shown how quadratic polynomial regression can be performed within a serial data assimilation framework. The addition of quadratic polynomial regression to the Data Assimilation Research Testbed (DART) is also discussed and its performance is illustrated using a hierarchy of models from simple scalar systems to a GCM. Show less
