Abstract
Significant impacts of the subgridscale parameterizations have been emphasized in modeling the ocean circulations, but various different parameter values are applied to similar numerical studies often without any justification. This study objectively estimates a set of empirical parameters along with their uncertainty for circulation modeling of the East Asian Marginal Seas. The solutions for 14 major parameters are obtained by using model Green’s functions with constraints of climatological temperature and salinity data. The largest cost function reduction occurs in the eastern Japan Sea associated with the sharp gradient of the Polar Front. The calibrated parameters are also validated with realistic transport and path of the Kuroshio in the final experiment. The inverse estimation shows that freshwater discharges from small rivers can be attributed to the coastal precipitation over a strip of land 74–81 km wide. The thickness diffusion coefficient may be similar to the isopycnal and horizontal diffusion coefficients in their magnitude. The accelerated initial condition also contributes to the cost function reduction resulting in weaker trends of deep temperature. Most importantly, estimated scaling factors suggest a significant reduction of the reanalyzed wind stress data for more realistic ocean circulations. Possible reasons for the momentum missing are also discussed.
Similar content being viewed by others
References
Annan JD, Hargreaves JC, Edwards NR, Marsh R (2005) Parameter estimation in an intermediate complexity earth system model using an ensemble Kalman filter. Ocean Model 8:135–154
Dee DP, da Silva AM (1998) Data assimilation in the presence of forecast bias. Q J R Meteorol Soc 124:269–295
Duhaut TH, Straub DN (2006) Wind stress dependence on ocean surface velocity: implications for mechanical energy input to ocean circulation. J Phys Oceanogr 36:202–211
Eden C, Dietze H (2009) Effects of mesoscale eddy/wind interactions on biological new production and eddy kinetic energy. J Geophys Res 114:C05023
Evensen G, Dee DP, Schröter J (1998) Parameter estimation in dynamical models. In: Chassignet EP, Verron J (eds) Ocean modeling and parameterization. Kluwer, Netherlands, pp 373–398
Gent PR, McWilliams JC (1990) Isopycnal mixing in ocean circulation models. J Phys Oceanogr 20:150–155
Hanawa K, Toba Y (1987) Critical examination of estimation methods of long-term mean air-sea heat and momentum transfers. Ocean Air Inter 1:79–93
Hirose N (2005) Least-squares estimation of bottom topography using horizontal velocity measurements in the Tsushima/Korea Straits. J Oceanogr 61:789–794
Hirose N, Fukumori I, Zlotnicki V, Ponte RM (2001) Modeling the high-frequency barotropic response of the ocean to atmospheric disturbances: sensitivity to forcing, topography, and friction. J Geophys Res 106:30987–30995
Hirose N, Kawamura H, Lee HJ, Yoon J-H (2007) Sequential forecasting of the surface and subsurface conditions in the Japan Sea. J Oceanogr 63:467–481
Hirst AC, McDougall TJ (1996) Deep-water properties and surface buoyancy flux as simulated by a z-coordinate model including eddy-induced advection. J Phys Oceanogr 26:1320–1343
Isoda Y (1994) Warm eddy movement in the eastern Japan Sea. J Oceanogr 50:1–15
Isoda Y (1999) Cooling-induced current in the upper ocean of the Japan Sea. J Oceanogr 55:585–596
Jayne SR, St. Laurent LC (2001) Parameterizing tidal dissipation over rough topography. Geophys Res Lett 28:811–814
Kara AB, Metzger EJ, Bourassa MA (2007) Ocean current and wave effects on wind stress drag coefficient over the global ocean. Geophys Res Lett 34:L01604
Kondo J (1975) Air–sea bulk transfer coefficients in diabetic conditions. Bound Layer Meteor 9:91–112
Lee HJ, Yoon J-H, Kawamura H, Kang H-W (2003) Comparison of RIAMOM and MOM in modeling the East Sea/Japan Sea circulation. Ocean Polar Res 25:287–302
Liu CS, Liu SY, Lallemand SE, Lundberg N, Reed D (1998) Digital elevation model offshore Taiwan and its tectonic implications. Terrest Atmos Ocean Sci 9:705–738
Menemenlis D, Fukumori I, Lee T (2005) Using Green’s functions to calibrate an ocean general circulation model. Mon Weather Rev 133:1224–1240
Mitsuyasu H (1985) A note on the momentum transfer from wind to waves. J Geophys Res 90:3343–3345
Navon IM (1997) Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography. Dyn Atmos Oceans 27:55–79
Nishimura K, Hirose N, Fukudome K (2008) Long-term estimation of volume transport through the Tsushima Straits. Rep Res Inst Appl Mech 135:113–118 (in Japanese with English abstract)
Noh Y, Kim HJ (1999) Simulations of temperature and turbulence structure of the oceanic boundary layer with the improved near-surface process. J Geophys Res 104:15621–15634
Noh Y, Ming HS, Raasch S (2004) Large eddy simulation of the ocean mixed layer: the effects of wave breaking and Langmuir circulation. J Phys Oceanogr 34:720–735
Pacanowski R, Gnanadesikan A (1998) Transient response in a z-level ocean model that resolves topography with partial cells. Mon Weather Rev 126:3248–3270
Perrie W, Tang CL, Hu Y, DeTracy BM (2003) The impact of waves on surface currents. J Phys Oceanogr 33:2126–2140
Rascle N, Ardhuin F, Terray EA (2006) Drift and mixing under the ocean surface: a coherent one-dimensional description with application to unstratified conditions. J Geophys Res 111:C03016
Senjyu T, Enomoto H, Matsuno T, Matsui S (2006) Interannual salinity variations in the Tsushima Strait and its relation to the Changjiang discharge. J Oceanogr 62:681–692
Spall MA (2002) Wind- and buoyancy-forced upper ocean circulation in two-strait marginal seas with application to the Japan/East Sea. J Geophys Res 107:C3006
Sugimoto S, Hanawa K, Narikiyo K, Fujimori M, Suga T (2010) Temporal variations of the net Kuroshio transport and its relation to atmospheric variations. J Oceanogr 66:611–619
Tziperman E, Thacker WC (1989) An optimal-control/adjoint-equations approach to studying the ocean general circulation. J Phys Oceanogr 19:1471–1485
You SH, Yoon J-H (2004) Modeling of the Ryukyu Current along the Pacific side of the Ryukyu Island. Pacific Oceanogr 2:44–51
Acknowledgments
The author wishes to thank Naoto Ebuchi (Hokkaido University), Akira Masuda, Katsuto Uehara (Kyushu University), Yign Noh (Yonsei University), Yu-heng Tseng (National Taiwan University), Victor Zlotnicki and Lee-Leung Fu (Jet Propulsion Laboratory) for their valuable comments and suggestions on this study. The author would also like to thank the Japan Oceanographic Data Center (JODC), Global Runoff Data Centre (GRDC), and National Geophysical Data Center (NGDC) for providing useful datasets. Many drawings were made with Grid Analysis and Display System (GrADS). This study was a part of the Data assimilation Research of the East Asian Marine System (DREAMS) project supported by Grant-in-Aid for Scientific Research and also by Research and Development Projects for Application in Promoting New Policy of Agriculture Forestry and Fisheries, Japan.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hirose, N. Inverse estimation of empirical parameters used in a regional ocean circulation model. J Oceanogr 67, 323–336 (2011). https://doi.org/10.1007/s10872-011-0041-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10872-011-0041-4