Objective Array Design: Application to the Tropical Indian Ocean

Abstract A simple, versatile, computationally efficient ensemble-based method for objectively designing an observation array is described. The method seeks to compute the observation array that minimizes the analysis error variance, according to Kalman filter theory. While most elements of the method have been described elsewhere, this paper attempts to present a simple, yet comprehensive, recipe for array design based on an ensemble of anomalies that represents the background error covariance. The versatility of the method is demonstrated through a series of applications to the tropical Indian Ocean (TIO). The first application uses model-generated fields of high-pass-filtered mixed layer depth to design an array to monitor intraseasonal variability. The second uses gridded observations of sea level anomaly to design an array to monitor intraseasonal-to-interannual variability. For both applications, the objectively designed arrays are compared to an array that will soon be implemented under the auspices...

[1]  Rolf H. Langland,et al.  Issues in targeted observing , 2005 .

[2]  Dake Chen,et al.  A Hybrid Vertical Mixing Scheme and Its Application to Tropical Ocean Models , 1994 .

[3]  R. Kleeman,et al.  A Simple Atmospheric Model of Surface Heat Flux for Use in Ocean Modeling Studies , 1995 .

[4]  H. Hendon,et al.  Mixed Layer Modeling of Intraseasonal Variability in the Tropical Western Pacific and Indian Oceans , 1998 .

[5]  Peter R. Oke,et al.  The Bluelink ocean data assimilation system (BODAS) , 2008 .

[6]  Antonio J. Busalacchi,et al.  Oceanic processes associated with anomalous events in the Indian Ocean with relevance to 1997–1998 , 2000 .

[7]  J. S. Godfrey,et al.  Indian Ocean intraseasonal variability in an Ocean general circulation model , 2003 .

[8]  R. Murtugudde,et al.  An Observing System Simulation Experiment for an Optimal Moored Instrument Array in the Tropical Indian Ocean , 2007 .

[9]  G. Meyers,et al.  An evaluation of expendable bathythermograph and Tropical Atmosphere-Ocean Array data for monitoring tropical ocean variability , 1996 .

[10]  B. Goswami,et al.  Origin of intraseasonal variability of circulation in the tropical central Indian Ocean , 2001 .

[11]  Peter R. Oke,et al.  Assimilation of surface velocity data into a primitive equation coastal ocean model , 2002 .

[12]  P. Oke,et al.  A Model-Based Assessment and Design of a Tropical Indian Ocean Mooring Array , 2007 .

[13]  A. Jazwinski Stochastic Processes and Filtering Theory , 1970 .

[14]  Gabriel A. Vecchi,et al.  An Observing System Simulation Experiment for the Indian Ocean , 2007 .

[15]  Peter R. Oke,et al.  Ensemble data assimilation for an eddy‐resolving ocean model of the Australian region , 2005 .

[16]  A. Schiller Effects of explicit tidal forcing in an OGCM on the water-mass structure and circulation in the Indonesian throughflow region , 2004 .

[17]  Geir Evensen,et al.  The Ensemble Kalman Filter: theoretical formulation and practical implementation , 2003 .

[18]  P. Xie,et al.  Global Precipitation: A 17-Year Monthly Analysis Based on Gauge Observations, Satellite Estimates, and Numerical Model Outputs , 1997 .

[19]  Craig H. Bishop,et al.  Adaptive sampling with the ensemble transform Kalman filter , 2001 .

[20]  J. Marotzke,et al.  A monitoring design for the Atlantic meridional overturning circulation , 2003 .

[21]  G. Bierman Factorization methods for discrete sequential estimation , 1977 .

[22]  S. Griffies,et al.  A Technical Guide to MOM4 , 2004 .

[23]  S. Behera,et al.  Subsurface influence on SST in the tropical Indian Ocean: structure and interannual variability , 2005 .

[24]  Robert N. Miller,et al.  An optimized design for a moored instrument array in the tropical Atlantic Ocean , 1998 .

[25]  R. Reynolds,et al.  The NCEP/NCAR 40-Year Reanalysis Project , 1996, Renewable Energy.

[26]  Carl Wunsch,et al.  Oceanographic Experiment Design by Simulated Annealing , 1990 .

[27]  F. Schott,et al.  The monsoon circulation of the Indian Ocean , 2001 .

[28]  G. Meyers,et al.  An Intersection of Oceanic Waveguides: Variability in the Indonesian Throughflow Region , 2004 .

[29]  J. Whitaker,et al.  Ensemble Data Assimilation without Perturbed Observations , 2002 .

[30]  W. D. Ruijter,et al.  An oceanic teleconnection between the equatorial and southern Indian Ocean , 2002 .

[31]  G. Meyers,et al.  Interannual upper ocean variability in the tropical Indian Ocean , 2001 .

[32]  Gilles Reverdin,et al.  Global high-resolution mapping of ocean circulation from TOPEX/Poseidon and ERS-1 and -2 , 2000 .

[33]  J. S. Godfrey,et al.  Seasonal near-surface dynamics and thermodynamics of the Indian Ocean and Indonesian Throughflow in a global Ocean general circulation Model , 1998 .

[34]  Yukio Masumoto,et al.  Forced Rossby waves in the southern tropical Indian Ocean , 1998 .

[35]  G. Meyers,et al.  Design Requirements for an Argo float array in the Indian Ocean inferred from observing system simulation experiments , 2004 .

[36]  P. Oke,et al.  Impact of Argo, SST, and altimeter data on an eddy‐resolving ocean reanalysis , 2007 .

[37]  J. O'Brien,et al.  Objective Analysis of Pseudostress over the Indian Ocean Using a Direct-Minimization Approach , 1989 .

[38]  Chris Snyder,et al.  Statistical Design for Adaptive Weather Observations , 1999 .

[39]  How well does a coarse‐resolution circulation model simulate observed interannual variability in the upper Indian Ocean? , 1999 .

[40]  Peter C. McIntosh Systematic Design of Observational Arrays , 1987 .

[41]  D. Chambers,et al.  Anomalous warming in the Indian Ocean coincident with El Niño , 1999 .

[42]  P. L. Traon,et al.  AN IMPROVED MAPPING METHOD OF MULTISATELLITE ALTIMETER DATA , 1998 .

[43]  Ying-Hwa Kuo,et al.  The impact of Global Positioning System data on the prediction of an extratropical cyclone: an observing system simulation experiment , 1997 .

[44]  P. Houtekamer,et al.  Data Assimilation Using an Ensemble Kalman Filter Technique , 1998 .

[45]  Russell,et al.  A recent field experiment aimed at supplying critical data from the Indian Ocean region may eventually help climate models reproduce and forecast the intraseasonal and interannual variability of the monsoon , 2022 .

[46]  S. P. Khare,et al.  An examination of ensemble filter based adaptive observation methodologies , 2006 .

[47]  J. Whitaker,et al.  Ensemble Square Root Filters , 2003, Statistical Methods for Climate Scientists.