Photo of JieFeng

Jie Feng

Research Fellow
Multi-scale data Assimilation and Predictability (MAP) Lab
School of Meteorology, University of Oklahoma

My doctoral research (advisor Dr. Jianping Li) developed a dynamically unstable perturbation method, i.e., the nonlinear local Lyapunov vectors (NLLVs), and extended their applications to the ensemble initialization.

After Ph.D., I earned high marks in the proposal submitted to National Research Council (NRC, U.S.) and was offered an NRC Research Associate. My post-doctoral research in collaboration with Dr. Zoltan Toth at Global System Division (GSD)/NOAA developed a statistical analysis and forecast error (SAFE) estimation method for the grid-point error estimation.

I am currently working as a research fellow in Dr. Xuguang Wang's group at the University of Oklahoma. The recent research involves studying the impact of assimilating novel observations and increasing model resolution configuration on hurricane analysis and prediction. My ongoing research includes the development of the localized particle filters and the multi-scale localization scheme for ensemble-based data assimilation.

Research highlights Publications Presentations


2010-2015 Ph.D. Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China

Major: Atmospheric Sciences

2006-2010 B.S. School of Atmospheric Sciences, Nanjing University of Information Science & Technology, Nanjing, China

Major: Atmospheric Sciences


2020-Present Research Fellow, School of Meteorology, the University of Oklahoma, Norman, OK.

2017-2020 Post-doctoral Research Associate, School of Meteorology, the University of Oklahoma, Norman, OK.

2015-2017 National Research Council Research Associate, Global Systems Division, NOAA/OAR/ESRL, Boulder, CO.

Research interests

Nonlinear error growth and predictability

  • Nonlinear local Lyapunov exponents and vectors
  • Chaotic attractor dynamics
  • Atmospheric predictability limit

Ensemble forecasting

  • Generation of initial ensemble perturbations
  • Error estimation
  • New algorithm of ensemble central tendency

Data assimilation

  • Estimation of static background error variance
  • Data impact of noval types of observations
  • Ensemble variational data assimilation for HWRF
  • Localized particle filter
  • Multi-scale localization
Research highlights

Error Growth Dynamics & Ensemble Forecasting

The Nonlinear Local Lyapunov Vectors (NLLV) were extensively developed from the classic Bred Vectors (BV) widely applied to the ensemble initialization in operation and research such as the NCEP global ensemble forecast system. The NLLVs are flow-dependent, dynamically-conditioned, and growing-type orthogonal perturbations. Numerical experiments reveal that they can span a higher-dimensional unstable subspace of local perturbations and better indicate the spatial error growth than the BVs (Feng et al. 2018). These favorable properties prompted us to explore its application to the ensemble initialization (Feng et al. 2014, 2016). The implementation in complex (e.g., WRF, ZC) models is being investigated and developed.

This is my animated image

Animation of instability of 500-hPa geopotential height captured by NLLVs in a QG model

Chaotic Attractor Dynamics & Atmospheric Predictability Limit

The Global and Local Attractor Radii (GAR and LAR) are introduced to measure the geometric properties of attractors. The quantitative relationships between GAR and LAR are calculated, and are found closely related to the chaotic error saturation behavior. GAR and LAR thus can provide objective criteria to measure the global and local predictability limits of atmospheric attractors (Li et al. 2018). The LAR can also be applied to the estimation of control and ensemble mean forecast errors (Feng et al. 2019).

Attractor Radius

Distribution of LAR on the x–y plane in the phase space of the Lorenz63 model

Statistical Analysis & Forecast Error Estimation

A Statistical Analysis and Forecast Error (SAFE) estimation method was developed and extended to the application of point-wise error estimation. The study is of critical importance to a reliable evaluation of the accuracy of analysis fields in data assimilation (DA) and the tuning of initial perturbation amplitude in ensemble forecasting. An initial evaluation in a moderately complex QG model manifests that the SAFE better estimates the distribution and amplitude of analysis error variance than the EnKF (Feng et al. 2017). The SAFE was further applied to estimating the analysis error variance of the NCEP operational DA system, providing a valuable reference for the DA system evaluation and advancement (Feng et al. 2019).


Estimated total (black), growing (red circle) and decaying (blue) analysis error variances of the GFS at NCEP by SAFE-II, and the 6-hr perceived error variance (green) and the estimated analysis error variance (red cross) by SAFE-I, respectively.

Data Assimilation & Data Impact of Novel Obs

The ensemble-variational hybrid DA method aims to improve the estimation of background error covariance by using the ensemble-based information, and solves the optimal system state in a variational framework. In a Hurricane WRF analysis/prediction system based on the hybrid DA method, we carried out a series of studies. Feng and Wang (2019a) found that the assimilation of novel upper-level dropsonde observations from the Tropical Cyclone Intensity (TCI) field campaign plays a critical role in modulating the hurricane upper-level dynamic and thermodynamic structure in analysis, and has important impact on the intensity and structure forecasts. Feng and Wang (2019b) demonstrated that improving the model resolution of either the first guess or background ensemble in DA can improve the TC initial intensity and structure but through distinct mechanisms.

This is my TCI figure

Upper-level wind field (a) without and (b) with the TCI dropsonde data assimilated, and (c) the difference


2020 Feng, J. and X. G. Wang*, 2019: Impact of increasing horizontal and vertical resolution of the hurricane WRF model on the analysis and prediction of Hurricane Patricia (2015). Under review, Mon. Wea. Rev.. PDF

2020 Feng, J. , J. Zhang, Z. Toth, M. Pena, and S. Ravela, 2020: A New Measure of Ensemble Central Tendency. Wea. Forecasting, 35(3), 879–889. PDF

Feng, J. , X. G. Wang, and J. Poterjoy, 2020: A comparison of two local moment matching nonlinear filters: local particle filter (LPF) and local nonlinear ensemble transform filter (LNETF). Mon. Wea. Rev., PDF

Feng, J. *, Z. Toth, and M. Pena, 2020: Partition of Analysis and Forecast Error Variance into Growing and Decaying Components. Quart. J. Roy. Meteor. Soc., 146(728), 1302-1321. PDF

2019 Feng, J. and X. G. Wang*, 2019: Impact of assimilating upper-level dropsonde observations collected during the TCI field campaign on the prediction of intensity and structure of Hurricane Patricia (2015), Mon. Wea. Rev., 147, 3069–3089. PDF

Feng, J., J. P. Li*, J. Zhang, D. Q. Liu, and R. Q. Ding, 2019: The relationship between deterministic and ensemble mean forecast errors revealed by global and local attractor radii. Adv. Atmos. Sci., 36(3), 271–278. PDF

2018 Feng, J., R. Q. Ding, J. P. Li*, and Z. Toth, 2018: Comparison of nonlinear local Lyapunov vectors and bred vectors in estimating the spatial distribution of error growth. J. Atmos. Sci., 75, 1073–1087. PDF

Hou, Z., Li, J.*, Ding, R.*, Karamperidou, C., Duan, W., Liu, T., & Feng, J., 2018. Asymmetry of the predictability limit of the warm ENSO phase. Geophysical Research Letters, 45. PDF

Zhong, Q., L. Zhang, J. Li, R. Ding*, and J. Feng, 2018: Estimating the predictability limit of tropical cyclone tracks over the western North Pacific using observational data. Adv. Atmos. Sci., in press. PDF

Li, J. P.*, J. Feng, and R. Q. Ding 2018: Attractor Radius and Global Attractor Radius and their Application to the Quantification of Predictability Limits. Clim. Dyn., 51, 2359–2374, PDF

Hou, Z., J. P. Li*, R. Q. Ding and J. Feng, 2018: The application of nonlinear local Lyapunov vectors to the Zebiak–Cane model and their performance in ensemble prediction. Clim. Dyn. PDF

2017 Feng, J.*, Z. Toth, and M. Peña, 2017: Spatial Extended Estimates of Analysis and Short-Range Forecast Error Variances. Tellus A, 69:1, 1325301. PDF

Huai, X., J. P. Li*, R. Q. Ding, J. Feng and D. Q. Liu, 2017: Quantifying local predictability of the Lorenz system using the nonlinear local Lyapunov exponent, Atmospheric and Oceanic Science Letters, 10:5, 372-378. PDF

2016 Feng, J., R. Q. Ding, J. P. Li* and D. Q. Liu, 2016: Comparison of nonlinear local Lyapunov vectors with bred vectors, random perturbations and ensemble transform Kalman filter strategies in a barotropic model. Adv. Atmos. Sci., 33(9), 1036–1046. PDF

Ding, R. Q., J. P. Li*, F. Zheng, J. Feng and D. Q. Liu, 2016: Estimating the limit of decadal-scale climate predictability using observational data. Clim. Dyn., 46(5), 1563–1580. PDF

2015 Liu, D. Q., J. Feng, J. P. Li* and J. C. Wang, 2015: The impacts of time-step size and spatial resolution on the prediction skill of the GRAPES-MESO forecast system. Chinese Journal of Atmos. Sci., 39(6), 1165–1178. PDF

Liu, D. Q., R. Q. Ding, J. P. Li* and J. Feng, 2015: Preliminary application of the nonlinear local Lyapunov exponent to target observation. Chinese Journal of Atmos. Sci., 39(2), 329−337. PDF

2014 Feng, J., R. Q. Ding, D. Q. Liu and J. P. Li*, 2014: The Application of Nonlinear Local Lyapunov Vectors to Ensemble Predictions in the Lorenz Systems. J. Atmos. Sci., 71, 3554–3567. PDF


2019 99th AMS annual meeting (oral), Jie Feng, A Comparison of Two Variants of Localized Particle Filter, Phoenix, AZ, USA. 7 Jan.

2018 33rd Conference on Hurricanes and Tropical Meteorology (oral), Jie Feng, Impact of Assimilating Outflow Layer Dropsonde Observations Collected during the TCI Field Campaign on the Prediction of Intensity and Structure of Hurricane Patricia (2015), Ponte Vedra, FL, USA. 19 Apr.

2017 97th AMS annual meeting (oral), Jie Feng, A New Method to Estimate the Impact of Observing System Changes on Predictability, Seattle, WA, USA. 25 Jan.

97th AMS annual meeting (oral), Jie Feng, Assessment and Decomposition of Analysis and Forecast Error Variance into Growing and Decaying Components, Seattle, WA, USA. 26 Jan.

2016 7th EnKF Data Assimilation Workshop (oral), Jie Feng, Spatially Extended Estimates of Analysis and Short-Range Forecast Error Variances, State College, PA, USA. 23 May.

NCEP visit, EMC seminar, Jie Feng, Grid-point Estimates of Analysis and Short-Range Forecast Error Variances, Environmental Modeling Center, NOAA/NWS, College Park, MD, USA. 9 Feb.

Informal seminar, discussions (hosted by Prof. Kayo Ide), University of Maryland, College Park, MD, USA. 8 Feb.

GSD seminar, Jie Feng, Grid-point Estimates of Analysis and Short-Range Forecast Error Variances, Global Systems Division, NOAA/OAR/ESRL, Boulder, CO, USA. 4 Feb.

96th AMS annual meeting (oral), Jie Feng, Grid-point Estimates of Analysis and Short-Range Forecast Error Variances, New Orleans, LA, USA. 13 Jan.

2015 GSD seminar, Jie Feng, Nonlinear Local Lyapunov Vectors and Their Use in Ensemble Forecasting, Global Systems Division, NOAA/OAR/ESRL, Boulder, CO, USA. 8 Oct.