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Application of the El Niño-Southern Oscillation CLImatology
andPERsistence (CLIPER) Forecasting Scheme
contributed by John Knaff1 and Christopher Landsea2
1Cooperative Institute for Research in the Atmosphere, Colorado State University, Fort Collins, Colorado
2NOAA/AOML/Hurricane Research Division, Miami, Florida
To provide a baseline of skill in seasonal ENSO forecasting, multiple regression has been used to
take best advantage of CLImatology, PERsistence and trend of initial conditions -- the
ENSO-CLIPER (Knaff and Landsea 1997). This replaces simple persistence as a skill threshold.
"Skill" is then redefined as the ability to out-forecast the ENSO-CLIPER--a more difficult task.
This statistical prediction method is based on an optimal combination of persistence,
month-to-month trend of initial conditions, and climatology. 14 candidate predictors are made
available for the selection, based on the 1950-1994 period. Zero to four predictors were chosen
for regression models for each of the calendar months. The predictands to be forecast include the
Southern Oscillation (pressure) Index (SOI), and the Niño 1+2, 3, 3.4 and 4 SST indices at lead
times ranging zero to over 20 months. While hindcast skill is very seasonally dependent,
substantial improvement is achieved over simple persistence wherein largest gains occur for two
to seven season (6 to 23 months) lead times. The ENSO-CLIPER model thus not only offers a
baseline "no-skill" forecast of ENSO variability, but a practical forecast based upon the CLIPER
premise.
The regression design called leaps and bounds (IMSL, 1987) is used to develop optimal models
(the best subsets of a prescribed number of predictors). Predictors include 1, 3 or 5 month
averages of initial predictor anomalies as well as their recent trends. Predictors are the predictands
themselves at earlier times. Some limits on predictor selection were imposed to reduce overfitting
(Aczel 1989). Skills are degraded from dependent sample results to reflect estimated independent
forecast skill following Davis (1979) and Shapiro (1984). Final skill estimates reflect levels
comparable to those of more sophisticated statistical and dynamical models. More details about
the ENSO-CLIPER model, including its skill and its predictor selection rules, are given in the
June 1997 issue of this Bulletin (p. 55). A copy of Knaff and Landsea (1997) as well as future
monthly ENSO-CLIPER forecasts are available at the Web site: http://tropical.atmos.
colostate.edu/~knaff. The program to run ENSO-CLIPER is also available upon request.
Employing the chosen predictors on a 1 December 1997 initialization date yields forecasts for
Dec-Jan-Feb 1997 (lead 0) out through Sep-Oct-Nov 1999 (lead 7). Forecasts for the Niño 3.4
region SST and the SOI are shown in Fig. 1. These forecasts indicate that SST anomalies have
already peaked during the previous season (2.60C) and are expected to very rapidly
become below normal by Jun-Jul-Aug 1998 (-0.53C). The cold event is expected to peak
during the Dec-Jan-Feb 1998-99 season (-1.42C). For the short leads these forecasts are almost
solely based on the persistence of initial conditions. At longer leads trends in both Niño 3.4 and
Niño 4 along with the initial SOI, and Niño 3.4 conditions, play a significant role in determining
the cooling to come in the summer and fall of 1998. For forecasts of the other Niño regions visit
the web site given in the preceding paragraph.
ENSO CLIPER forecasts of Niño 3.4 made for the last several seasons have verified reasonably
(Table 1). While they underestimated the intensity of the 1997 warming, they did predict
warming. The strength of the warm forecast has increased in parallel with the increas-es in the
observed initial state. In addition, ENSO CLI-PER has been, since June 1997, consistently
predicting the rapid cooling expected to occur in spring 1998.
Acknowledgments: The authors wish to thank William Gray, Tony Barnston, John Sheaffer, Dave
Enfield, Dennis Mayer, Barb Brumit, Amie Hedstrom, Bill Thorson and Rick Taft for all their help
and com-ments concerning this work. The lead author was sup-ported by NOAA under contract
NA37RJ0202 (Wil-liam Gray, PI) with supplemental support given by NSF under contracts
ATM-9417563 (William Gray, PI). The second author was funded through the 1995-96 NOAA
Postdoctoral Program in Climate and Global Change.
Aczel, A. D., 1989: Complete Business Statistics. Richard D. Irwin, Inc., 1056 pp.
Davis, R. E., 1979: A search for short range climate productivity. Dyn. Atmos. Oceans, 3, 485-497.
IMSL, 1987: FORTRAN subroutines for statistical analysis. International Mathematical &
Statistical FORTRAN Library, 1232 pp.
Knaff, J. A. and C. W. Landsea, 1997: An El Niño-Southern Oscillation CLImatology and
PERsistence (CLIPER) Forecasting Scheme. Wea. Forecasting, 12, 633-652
Shapiro, L. J., 1984: Sampling errors in statistical models of tropical cyclone motion: A
comparison of predictor screening and EOF techniques. Mon. Wea. Rev. , 112 , 1378-1388.
Table 1. Recent history of ENSO-CLIPER forecasts and corresponding observations (C) for the Niño 3.4 region.
Target Period |
Forecast
Made
Dec 1996 |
Forecast
Made
Mar 1997 |
Forecast
Made
Jun 1997 |
Forecast
Made
Sep 1997 |
Observed
Anomaly |
DJF 96-97 | -0.20 | -- | -- | -- | -0.46 |
MAM 97 | 0.13 | -0.03 | -- | -- | 0.46 |
JJA 97 | 0.19 | 0.52 | 1.52 | -- | 1.70 |
SON 97 | 0.59 | 0.72 | 2.04 | 2.12 | 2.60 |
DJF 97-98 | 0.58 | 0.81 | 2.51 | 2.80 | we will see |
MAM 98 | 0.41 | 0.36 | 0.96 | 0.89 | we will see |
JJA 98 | 0.19 | 0.38 | 0.09 | 0.09 | we will see |
Fig. 1a, b. Forecast of (a) Niño 3.4 SST and (b) SOI using data available through the 1 December
1997. Forecasts are valid for Dec-Jan-Feb (DJF) 1997-98, MAM 1998, JJA 1998, SON 1998,
DJF 1998-99, MAM 1999, JJA 1999 and SON 1999. Actual numerical forecast values for these
times are shown on each plot along with estimated RMSE bars. These anomalies are based on a
1950-1979 mean.