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							  WORLD METEOROLOGICAL ORGANIZATION                           CBS-DPFS/CG-FV/Doc. 4(3)

       COMMISSION FOR BASIC SYSTEMS                           (14.I.2011)
               OPAG on DPFS                                   _______

    COORDINATION GROUP ON FORECAST
                                                              Agenda item : 4
             VERIFICATION
      Montreal, Canada, 24 – 27 January 2011                  ENGLISH ONLY




                Use and presentation of CBS scores at ECMWF


                                (Submitted by David Richardson)




                             Summary and purpose of document



                   This document summarises the ways that ECMWF uses the
              verification scores that are exchanged between the participating
              global NWP centres.




                                        Action Proposed

The meeting is invited to note the use of CBS verification scores at ECMWF and to consider this
during its discussion of the requirements for graphical displays on the LC-DNV web site.
                                                                   CBS-DPFS/CG-FV/Doc. 4(3), p. 2


Use and presentation of CBS scores at ECMWF

1.     Introduction and summary

ECMWF maintains a comprehensive set of verification diagnostics for its deterministic forecasting
system. A range of measures is used to assess different aspects of forecast performance and
different products. Performance is monitored continually and results are reviewed monthly and 3-
monthly at internal ECMWF meetings. Verification results are reported annually to ECMWF’s
external Technical Advisory Committee and Scientific Advisory Committee. The complete set of
annual results is available in ECMWF Technical Memoranda on “Verification statistics and
evaluations of ECMWF forecasts”, downloadable from

http://www.ecmwf.int/publications/library/do/references/list/14

It is very helpful for reporting purposes to select a limited number of headline scores to give an
overall view of progress (it should be emphasised that these headline scores are intended to be an
indicative summary of long-term trends in performance). The main headline score for the ECMWF
deterministic forecast is the anomaly correlation (ACC) for 500 hPa height, evaluated over the
extra-tropics (northern and southern hemispheres and Europe). Progress in synoptic-scale skill for
the deterministic forecast is monitored by the day at which the anomaly correlation (ACC) for 500
hPa height drops below 0.6.

Comparison of ECMWF verification results with those from other centres is a regular part of the
ECMWF verification procedure. These comparisons are helpful in assessing trends, putting
changes in ECMWF scores in the context of the changes at other centres. They are also valuable
in assessing the impact of differences in atmospheric conditions when comparing scores between
different years. Some examples of the use of CBS scores at ECMWF are shown below.

ECMWF computes scores following the current CBS procedures and also in parallel using the new
procedures developed by the CG-FV and agreed at CBS in November 2010. Some comments on
the comparison of the new and old procedures are given as well as on the expected benefits from
the proposed additional scores.


2.     Examples of presentation of CBS score at ECMWF

Figure 1 shows time series of the CBS exchanged scores over the northern extratropics for both
500 hPa geopotential height and mean sea level pressure (MSLP). For both parameters, medium-
range forecast errors for all models were lower in winter 2009-10 than in winter 2008-09. ECMWF
maintains a lead over the other centres. Overall, however, the difference in performance between
centres is decreasing. This can be seen particularly clearly in Figure 2 which shows a running 12-
month mean of the monthly scores for 500 hPa geopotential height.

CBS scores include verification against analyses and against radiosonde observations. Both sets
of scores are regularly plotted at ECMWF. Figure 3, shows both 500 hPa geopotential height and
850 hPa wind errors averaged over 12 months.

The comparison for the tropics is summarised in Figure 4 (verification against analyses) and Figure
5 (verification against observations). When verified against the centres’ own analyses, the UK Met
Office has had the lowest short-range errors since mid-2005, while at day 5 ECMWF and the Met
Office performances are similar. The errors of the JMA forecast system have steadily decreased
over several years and are now comparable with those of the Met Office model at both short and
medium ranges. In the tropics, verification against analyses (Figure 4) is very sensitive to the
analysis, in particular its ability to extrapolate information away from observation locations. When
                                                                     CBS-DPFS/CG-FV/Doc. 4(3), p. 3


verified against observations, the ECMWF, Met Office and JMA models have very similar short-
range errors. In the context of this meeting, it is worth noting the large increase in 850 hPa wind
error against analysis (at day 1) in the Canadian forecasts from 2006 and sudden drop in early
2009 (Figure 4). These are related to the verification procedure and do not reflect differences in
model performance. This does, however, demonstrate the importance of consistent verification
methodology, when comparing forecasts from different centres. This specific issue was discussed
during the first meeting of the CG-FV in November 2009.

ECMWF’s main headline score, ACC for 500 hPa height, was exceptionally good for both Europe
and the northern hemisphere in February 2009, being substantially higher than in any previous
month. This was the first month after a substantial increase in resolution of the ECMWF forecasting
system (from 25km to 16km horizontal grid). Figure 6 compares ACC scores for February 2009
with those for February 2008 for ECMWF and for other centres. This shows that the large increase
in skill for February 2009 was also obtained by the other centres and suggests that the main
reason for the exceptional scores is more likely to be the unusually anomalous atmospheric
conditions in February 2009 than the upgrade to the ECMWF system (a fact confirmed by further
investigation). Note that in this case, the ACC scores for NCEP and the Met Office (UKMO) were
computed at ECMWF so that the same climatology was used for all centres (verification was
against each centres own analysis).

3.       Implementation of revised CBS verification procedures

ECMWF has begun to compute scores using the revised CBS verification procedures. These are
produced in parallel with the current operational scores. The new scores are used internally but not
yet disseminated externally. Figure 7 shows an example of the effect of the change in procedure
on the main ECMWF headline score, ACC for 500 hPa height over the northern hemisphere
extratropics. The changes in the new verification procedure are

         verification on a 1.5° grid instead of the current 2.5°
         truncation of the spectral fields to the appropriate spectral resolution (T120); (previously
         there was no truncation of the ECMWF fields)
         use of up-to-date climatology, i.e. ERA Interim for a fixed 20 year period (1989-2008), for
         ACC

For the verification of 500 hPa height, the only substantial impact is the change of climatology.
Until now ECMWF has used an old climatology prepared in the 1970s. The change to the up-to-
date ERA-Interim climatology gives overall lower ACC as shown in Figure 7. Since the reduction is
consistent over recent years it does not have a significant impact on the perceived long-term rate
of progress of the deterministic forecast.

The new procedures also recommend the exchange of additional verification measures, including
rms forecast and analysis anomalies and standard deviation of forecast and analysis fields. These
are very valuable complements to the ACC and rms error. An example is shown in Figure 8 for 500
hPa height over the extra-tropical northern hemisphere for ECMWF and Met Office (scores for both
centres have been computed at ECMWF). The standard deviations of the analysis anomalies are
overall very similar; there is more difference in the forecast anomalies which for recent years are
lower for the Met Office system than for ECMWF, which stays closer to the analysis values. The
additional information from these measures can help in the interpretation of the basic rms scores
(Figure 1).
                                                                          CBS-DPFS/CG-FV/Doc. 4(3), p. 4



                                                                           JMA 12utc T+144
                                                                          CMC 00utc T+144
          Verification to WMO standards                                   UKMO 12utc T+144
                                                                          NCEP 00utc T+144
           Mean sea level pressure
                                                                         ECMWF 12utc T+144
        Root mean square error of forecast                                 M-F 00utc T+48
N Hemisphere Lat 20.0 to 90.0 Lon -180.0 to 180.0                          JMA 12utc T+48
                                                                           CMC 00utc T+48
                                                                          UKMO 12utc T+48
                                                                          NCEP 00utc T+48
                                                                          ECMWF 12utc T+48
  10


  9


  8


  7


  6


  5


  4


  3


  2


  1
       1999     2000    2001     2002    2003       2004   2005   2006   2007      2008      2009   2010


                                                                           JMA 12utc T+144
                                                                          CMC 00utc T+144
          Verification to WMO standards                                   UKMO 12utc T+144
                                                                          NCEP 00utc T+144
           Mean sea level pressure
                                                                         ECMWF 12utc T+144
        Root mean square error of forecast                                 M-F 00utc T+48
N Hemisphere Lat 20.0 to 90.0 Lon -180.0 to 180.0                          JMA 12utc T+48
                                                                           CMC 00utc T+48
                                                                          UKMO 12utc T+48
                                                                          NCEP 00utc T+48
                                                                          ECMWF 12utc T+48
  10


  9


  8


  7


  6


  5


  4


  3


  2


  1
       1999     2000    2001     2002    2003       2004   2005   2006   2007      2008      2009   2010



Figure 1: WMO/CBS exchanged scores from global forecast centres. RMS error over northern
extratropics for 500 hPa geopotential height (top) and MSLP (bottom). In each panel the upper
curves show the 6-day forecast error and the lower curves show the 2-day forecast error. Each
model is verified against its own analysis. JMA = Japan Meteorological Agency, CMC = Canadian
Meteorological Centre, UKMO = the UK Meteorological Office, NCEP = U.S. National Centers for
Environmental Prediction, M-F = Météo-France.
                                                                 CBS-DPFS/CG-FV/Doc. 4(3), p. 5


                                                                     ECMWF 00utc T+48
                                                                     ECMWF 00utc T+144
                 Time series curves                                     JMA 12utc T+48
                500hPa geopotential                                    JMA 12utc T+144
          Root mean square error of forecast                           CMC 00utc T+48
                                                                       CMC 00utc T+144
NH Extratropics Lat 20.0 to 90.0 Lon -180.0 to 180.0
                                                                      UKMO 00utc T+48
           Moving average (12) wmo_an od
                                                                      UKMO 00utc T+144
                   00UTC,verifying                                     NCEP 00utc T+48
                                                                      NCEP 00utc T+144
       m
  80



  70



  60



  50



  40



  30



  20



  10
           2003       2004         2005         2006   2007       2008        2009       2010


Figure 2: WMO/CBS exchanged scores from global forecast centres. RMS error over northern
extratropics for 500 hPa geopotential height. 12-month running mean of the monthly scores from 5
of the global NWP centres. The upper curves show the 6-day forecast error and the lower curves
show the 2-day forecast error. Each model is verified against its own analysis.
                                                                   CBS-DPFS/CG-FV/Doc. 4(3), p. 6



                                                                   ECMWF 00utc
      Verification to WMO standards                                 M-F 00utc
     verification against radiosondes
                                                                   UKMO 00utc
            geopotential 500hPa
                                                                   NCEP 00utc
    Root mean square error of forecast
Europe Lat 35.0 to 75.0 Lon -12.5 to 42.5                           CMC 00utc
                                                                    JMA 00utc
      m
100


 90


 80


 70


 60


 50


 40


 30


 20


 10
      1        2            3               4              5   6                7        8
                                            Forecast Day


                                                                   ECMWF 00utc
      Verification to WMO standards                                 M-F 00utc
     verification against radiosondes
                                                                   UKMO 00utc
                wind 850hPa
                                                                   NCEP 00utc
    Root mean square error of forecast
Europe Lat 35.0 to 75.0 Lon -12.5 to 42.5                           CMC 00utc
                                                                    JMA 00utc
      m/s
12


11


10


 9


 8


 7


 6


 5


 4


 3
      1        2            3               4              5   6             7           8
                                            Forecast Day


Figure 3. WMO/CBS exchanged scores using radiosondes: 500 hPa height (top) and 850 hPa
wind(bottom) RMS error over Europe (annual mean August 2009 – July 2010).
                                                                           CBS-DPFS/CG-FV/Doc. 4(3), p. 7



                                                                                JMA 12utc T+120
        Verification to WMO standards                                           CMC 00utc T+120
                                                                               UKMO 12utc T+120
                  wind 250hPa
                                                                               NCEP 00utc T+120
      Root mean square error of forecast                                       ECMWF 12utc T+120
                                                                                 M-F 00utc T+24
Tropics Lat -20.0 to 20.0 Lon -180.0 to 180.0
                                                                                 JMA 12utc T+24
                                                                                CMC 00utc T+24
                                                                                UKMO 12utc T+24
                                                                                NCEP 00utc T+24
                                                                               ECMWF 12utc T+24
       m/s
 13


 12


 11


 10


  9


  8


  7


  6


  5


  4


  3


  2
         1997   1998   1999   2000   2001   2002   2003   2004   2005   2006      2007      2008   2009
                                                                                JMA 12utc T+120
        Verification to WMO standards                                           CMC 00utc T+120
                                                                               UKMO 12utc T+120
                  wind 850hPa
                                                                               NCEP 00utc T+120
      Root mean square error of forecast                                       ECMWF 12utc T+120
                                                                                 M-F 00utc T+24
Tropics Lat -20.0 to 20.0 Lon -180.0 to 180.0
                                                                                 JMA 12utc T+24
                                                                                CMC 00utc T+24
                                                                                UKMO 12utc T+24
                                                                                NCEP 00utc T+24
                                                                               ECMWF 12utc T+24
       m/s
 6.5


  6


 5.5


  5


 4.5


  4


 3.5


  3


 2.5


  2


 1.5
         1997   1998   1999   2000   2001   2002   2003   2004   2005   2006      2007      2008   2009




Figure 4: WMO/CBS exchanged scores from global forecast centres. RMS vector wind error over
tropics at 250 hPa (top) and 850 hPa (bottom). In each panel the upper curves show the 5-day
forecast error and the lower curves show the 1-day forecast error. Each model is verified against
its own analysis.
                                                                              CBS-DPFS/CG-FV/Doc. 4(3), p. 8



                                                                                   JMA 12utc T+120
        Verification to WMO standards                                              CMC 00utc T+120
                                                                                  UKMO 12utc T+120
                  wind 250hPa
                                                                                  NCEP 00utc T+120
      Root mean square error of forecast                                          ECMWF 12utc T+120
                                                                                    M-F 00utc T+24
Tropics Lat -20.0 to 20.0 Lon -180.0 to 180.0
                                                                                    JMA 12utc T+24
                                                                                   CMC 00utc T+24
                                                                                   UKMO 12utc T+24
                                                                                   NCEP 00utc T+24
                                                                                  ECMWF 12utc T+48
          m/s
    14


    13


    12


    11


    10


     9


     8


     7


     6


     5


     4
            1997   1998   1999   2000   2001   2002   2003   2004   2005   2006      2007      2008   2009
                                                                                   JMA 12utc T+120
        Verification to WMO standards                                              CMC 00utc T+120
                                                                                  UKMO 12utc T+120
                  wind 850hPa
                                                                                  NCEP 00utc T+120
      Root mean square error of forecast                                          ECMWF 12utc T+120
                                                                                    M-F 00utc T+24
Tropics Lat -20.0 to 20.0 Lon -180.0 to 180.0
                                                                                    JMA 12utc T+24
                                                                                   CMC 00utc T+24
                                                                                   UKMO 12utc T+24
                                                                                   NCEP 00utc T+24
                                                                                  ECMWF 12utc T+48
          m/s
     8


    7.5


     7


    6.5


     6


    5.5


     5


    4.5


     4


    3.5


     3
            1997   1998   1999   2000   2001   2002   2003   2004   2005   2006      2007      2008   2009




Figure 5: As Figure 4 for scores computed against radiosondes observations.

.
                                                                            CBS-DPFS/CG-FV/Doc. 4(3), p. 9


                Mean curves                                               Feb 10
            500hPa geopotential
                                                                          Feb 09
 Correlation coefficent of forecast anomaly
                    n.hem                                                 Feb 08
Date: 20060201 00UTC to 20100228 12UTC
                                                                          Feb 07
          oper_an od oper 120 erai
    Mean calculation method: standard                                     Feb 06
      %
100




 90




 80




 70




 60




 50




 40
          1      2         3        4          5           6       7       8         9     10
                                            Forecast Day


                Mean curves                                            Feb 10ECMWF
            500hPa geopotential                                        Feb 10UKMO
 Correlation coefficent of forecast anomaly                            Feb 10NCEP
                    n.hem
                                                                       Feb 09ECMWF
Date: 20090201 00UTC to 20100228 12UTC
               oper_an od erai                                         Feb 09UKMO
    Mean calculation method: standard                                  Feb 09NCEP
      %
100


 98


 96


 94


 92


 90


 88


 86


 84


 82


 80
      1              2                  3                      4               5           6
                                            Forecast Day



Figure 6: Anomaly correlation (ACC) error over northern extratropics for 500 hPa geopotential
height for February. Top panel shows the ACC for the ECMWF forecasts for February 2006-2010.
The bottom panel compares the ACC for February 2009 and 2010 for ECMWF, NCEP and the Met
Office (UKMO).
             Time series curves
            500hPa geopotential                                                               Score reaches 60
 Correlation coefficent of forecast anomaly                                                   Score reaches 60
                    n.hem
                   od oper                                                                CBS-DPFS/CG-FV/Doc. 4(3), p. 10
                                                                                              MA 12 months
           12UTC,beginning 120                                                                  MA 12 months
      day
10


9.5


 9


8.5


 8


7.5


 7


6.5


 6


5.5


 5
      1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009




Figure 7: Comparison of current and revised computation of anomaly correlation scores. Monthly
mean (cyan - current; magenta - revised) and 12-month running mean (blue - current; red - revised)
of the forecast range at which the anomaly correlation for 500 hPa height operational forecasts
falls below 60% for the extra-tropical northern hemisphere.
                                                                      CBS-DPFS/CG-FV/Doc. 4(3), p. 11


                 Time series curves
                500hPa geopotential
                                                                            ECMWF
       Standard deviation of analysis anomaly
NH Extratropics Lat 20.0 to 90.0 Lon -180.0 to 180.0                        Met Office
           Moving average (12) oper_an od
           T+144 00UTC,12UTC,beginning

       m
  96


  95


  94


  93


  92


  91


  90


  89


  88


  87


  86
           2000   2001     2002     2003      2004     2005   2006   2007     2008       2009   2010


                 Time series curves
                500hPa geopotential
                                                                            ECMWF
       Standard deviation of forecast anomaly
NH Extratropics Lat 20.0 to 90.0 Lon -180.0 to 180.0                        Met Office
           Moving average (12) oper_an od
           T+144 00UTC,12UTC,beginning

       m
  96

  95

  94

  93

  92

  91

  90

  89

  88

  87

  86

  85
           2000   2001     2002     2003      2004     2005   2006   2007     2008       2009   2010




Figure 8: Example of recommended additional scores: timeseries of monthly mean standard
deviation of analysis (top) and 6-day forecast anomalies over northern extratropics for 500 hPa
geopotential. Each model is verified against its own analysis (computation of scores made at
ECMWF).

						
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