Short‐range forecast experiments of the Kuroshio path variabilities south of Japan using TOPEX/Poseidon altimetric data

[1] Capability for short-range forecasting of the Kuroshio path variabilities south of Japan is studied by assimilating the absolute sea surface dynamic height data, which are derived from in situ hydrography and TOPEX/Poseidon (T/P) altimetry, into a high-resolution 1-1/2 layer primitive equation model every 15 days for 5 years from 1993 to 1997. The initialization scheme used is the variational method, which contains the nonlinear dynamics of the model as a weak constraint and is suitable for initialization in the western boundary current regions where initialization by simple optimal interpolation is inappropriate. The time series of the analysis field well represents the Kuroshio path variations during the study period. For example, the root-mean-square (RMS) differences from the observations falls within 0.3° for the location in latitude of the current axis off Enshu-nada and 11.4 cm for the sea level at Hachijo-jima Island while their observed RMS variabilities are 0.5° and 30.7 cm, respectively. By using the resulting fields as the initial conditions, 116 cases of 90-day forecast experiments for the Kuroshio path variations are then performed to assess the statistical properties of our assimilation system. Though significant bias is found in the forecast field southeast of Kyushu, the accuracy of our forecasted field south of Japan is much higher than that of persistence experiments, and the typical evolution of the Kuroshio into a large-amplitude path off Enshu-nada is successfully reproduced after the initialization. In particular, the eastward progression speed and the horizontal scale of the meander are quite similar to those observed. These results and the comparison with the RMS variability of the analysis field enable us to infer that roughly 60-day forecasts of the Kuroshio path variabilities south of Japan are possible. This indicates that our assimilation system is suitable for the operational short-range forecasting of the upper Kuroshio.

[1]  A. Shibata,et al.  Sea surface dynamic height of the Pacific Ocean derived from TOPEX/POSEIDON altimeter data : Calculation method and accuracy , 1997 .

[2]  A. R. Robinson,et al.  Circulation and Dynamics of the Western North Atlantic. Part III: Forecasting the Meanders and Rings , 1997 .

[3]  Stephen E. Cohn,et al.  An Introduction to Estimation Theory (gtSpecial IssueltData Assimilation in Meteology and Oceanography: Theory and Practice) , 1997 .

[4]  Shenn-Yu Chao,et al.  Bimodality of the Kuroshio , 1984 .

[5]  Jacques Verron,et al.  An extended Kalman filter to assimilate satellite altimeter data into a nonlinear numerical model of the tropical Pacific Ocean: Method and validation , 1999 .

[6]  George L. Mellor,et al.  A Gulf Stream model and an altimetry assimilation scheme , 1991 .

[7]  H. Hurlburt,et al.  Dynamic transfer of simulated altimeter data into subsurface information by a numerical ocean model , 1986 .

[8]  M. Kawabe Sea level variations at the Izu Islands and typical stable paths of the Kuroshio , 1985 .

[9]  Philippe Courtier,et al.  Unified Notation for Data Assimilation : Operational, Sequential and Variational , 1997 .

[10]  Sol Hellerman,et al.  Normal Monthly Wind Stress Over the World Ocean with Error Estimates , 1983 .

[11]  K. Akitomo,et al.  Effects of Stratification and Bottom Topography on the Kuroshio Path Variation South of Japan. Part II: Path Transitions in a Multiple Equilibrium Regime , 2000 .

[12]  I. Orlanski A Simple Boundary Condition for Unbounded Hyperbolic Flows , 1976 .

[13]  K. Akitomo,et al.  Kuroshio path variation south of Japan: 1. Barotropic inflow‐outflow model , 1991 .

[14]  Y. Ishikawa,et al.  Successive Correction of the Mean Sea Surface Height by the Simultaneous Assimilation of Drifting Buoy and Altimetric Data , 1996 .

[15]  Inverse Modeling of Seasonal Variations in the North Atlantic Ocean , 1998 .

[16]  Carl Wunsch,et al.  The global ocean circulation estimated from TOPEX/POSEIDON altimetry and the MIT general circulation model , 1997 .

[17]  George L. Mellor,et al.  Continuous assimilation of Geosat altimeter data into a three-dimensional primitive equation Gulf Stream model , 1994 .

[18]  Altimeter Data Assimilation into a 1/8° Eddy Resolving Model of the Pacific Ocean (gtSpecial IssueltData Assimilation in Meteology and Oceanography: Theory and Practice) , 1997 .

[19]  K. Akitomo,et al.  Numerical Study of Shelf Water Motion Driven by the Kuroshio: Barotropic Model , 1991 .

[20]  M. Kamachi,et al.  Global statistical space-time scales of oceanic variability estimated from the TOPEX/ POSEIDON altimeter data , 2000 .

[21]  M. Ikeda,et al.  Variational assimilation of Geosat altimeter data into a two-layer quasi-geostrophic model over the Newfoundland , 1998 .

[22]  B. Qiu Determining the mean Gulf Stream and its recirculations through combining hydrographic and altimetric data , 1994 .

[23]  Jens Schröter,et al.  Variational Assimilation of Geosat Data into an Eddy-resolving Model of the Gulf Stream Extension Area , 1993 .

[24]  Masaki Kawabe,et al.  Variations of Current Path, Velocity, and Volume Transport of the Kuroshio in Relation with the Large Meander , 1995 .

[25]  M. Ghil,et al.  Data assimilation in meteorology and oceanography , 1991 .

[26]  E. Joseph Metzger,et al.  Statistical inference of weakly correlated subthermocline fields from satellite altimeter data , 1990 .

[27]  Yoichi Ishikawa,et al.  Dynamical Initialization for the Numerical Forecasting of Ocean Surface Circulations Using a Variational Assimilation System , 2001 .

[28]  Y. Sasaki SOME BASIC FORMALISMS IN NUMERICAL VARIATIONAL ANALYSIS , 1970 .

[29]  B. Qiu,et al.  Interannual variability in the mid- and low-latitude western North Pacific , 1992 .