Xue Chenbin, Gong Jiandong, Xue Jishan, et al. Height assignment error of FY-2E atmospheric motion vectors and its application to data assimilation. J Appl Meteor Sci, 2011, 22(6): 681-690.
Citation: Xue Chenbin, Gong Jiandong, Xue Jishan, et al. Height assignment error of FY-2E atmospheric motion vectors and its application to data assimilation. J Appl Meteor Sci, 2011, 22(6): 681-690.

Height Assignment Error of FY-2E Atmospheric Motion Vectors and Its Application to Data Assimilation

  • Received Date: 2010-10-03
  • Rev Recd Date: 2011-08-09
  • Publish Date: 2011-12-31
  • Atmospheric motion vectors (AMVs) can provide plenty of useful information for synoptic analysis and numerical weather prediction, because of their excellent temporal and spatial coverage. It is of great value to apply FY-2E AMVs efficiently with the purpose of improving the initial fields and numerical forecasts. The existing assimilation systems in China are in lack of systematic guidance on the quality of FY-2E AMVs, and therefore call for research on optimizing the parameters in data assimilation system, which is very important and foundational to numerical weather prediction.The error characteristics of FY-2E AMVs are investigated on the basis of quality indicator attached. Statistical results demonstrate that the quality indicator of FY-2E AMVs has relatively weak implication of quality, because speed biases and root mean square errors with high quality indicator are still very large. With the study of inversion theory of AMVs, it is found that the inaccuracy of height assignment is the main problem that causes large observation error. According to this problem, the one-dimensional variational method is employed to adjust the height of AMVs. At the same time, the improvement is compared before and after height adjustment by means of radiosonde observations. As a result, it shows that the quality of FY-2E AMVs can be improved greatly after height adjustment. The absolute error of wind speed at every level in the northern hemisphere extra-tropics is reduced from 4 m·s-1 to 2 m·s-1 or less, while root mean square error from 10 m·s-1 to 6 m·s-1 or below. And the situation improved in the Southern Hemisphere extra-tropics is even more apparent. Height bias has been controlled within 20 hPa at every level below 150 hPa after height adjustment, and the characteristic of single-level wind field is evident. These facts reflect that the height of AMVs designated is systemically high in the Northern and Southern Hemispheres extra-tropics.Furthermore, the method of innovation vector and zero-order Bessel fitting function which is based on the theory of least square method are adopted together to partition background and observation error variances in the observation space, and thus the observation error of AMVs and the quality control coefficient can be estimated according to the statistical distribution of the innovation vectors. In order to validate the assumption on uncorrelated observation errors required in 3DVAR method, observation errors are inflated to avoid the influence caused by correlated errors. Finally, the predictability and impact of FY-2E AMVs data assimilation schemes is assessed in GRAPES global numerical prediction system. The results confirm that short-range forecast ability for the global numerical weather prediction system can be improved in the Northern Hemisphere, by introducing new observation error schemes with height adjustment. The improvement above high levels appears better than those of middle and low levels.
  • Fig. 1  RMSE profile between 300 hPa FY-2E AMVs and entire profile of collocated radiosonde observations

    (a) before height adjustment, (b) after height adjustment

    Fig. 2  Scatter plots of zonal wind of FY-2E AMVs against radiosonde observations at 50—400 hPa in the North Hemisphere extra-tropics

    Fig. 3  Probability distribution of zonal wind speed deviation of FY-2E AMVs to radiosonde observations at 50—400 hPa in the Northern Hemisphere extra-tropics

    (smooth curve is normal distribution curve, long dashed line is mean value, two short dashed lines are μ±2σ, respectively)

    Fig. 4  Speed bias and RMSE of FY-2E AMVs calculated before height adjustment and after height adjustment against radiosonde observations at each height level

    Fig. 5  Error variance of innovation vectors and fitted background error variance functions

    Fig. 6  Rate of forecast experiment improvement in the region of the North Hemisphere (0°—90°N, 40°E—170°E)

    Table  1  Settings of coefficients

    经验系数 赤道外
    北半球地区
    赤道地区 赤道外
    南半球地区
    FU/(m·s-1) 4.1 2.2 3.6
    FV/(m·s-1) 3.8 2.0 3.0
    FT/℃ 10.0 10.0 10.0
    FP/hPa 150 80 150
    FS(m·s-1) 4.0 3.2 4.2
    FD/(°) 30 40 25
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    Table  2  The partition of vertical levels

    层次/hPa 云导风高度范围/hPa
    1000 ≥925
    850 925~775
    700 775~600
    500 600~450
    400 450~350
    300 350~275
    250 275~225
    200 225~175
    150 175~125
    100 ≤125
    DownLoad: Download CSV

    Table  3  Observation errors of AMVs at each level (unit:m·s-1)

    层次/hPa 计算观测误差 旧方案观测误差 新方案观测误差
    1000 2.3 6.5
    850 2.3 6.8
    700 3.4 2.5 6.2
    500 4.5 3.0 6.5
    400 4.6 3.5 6.8
    300 5.0 3.7 7.1
    250 4.3 3.5 6.5
    200 4.0 3.5 6.0
    150 4.8 3.4 7.2
    100 3.3 8.6
    DownLoad: Download CSV
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    • Received : 2010-10-03
    • Accepted : 2011-08-09
    • Published : 2011-12-31

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