An Observing System Simulation Experiments framework based on the ensemble square root Kalman Filter for evaluating the concentration of chlorophyll a by multi-source data: A case study in Taihu Lake
Keywords:
EnSRF, remote sensingAbstract
Data assimilation is a method to produce a description of the system state, as accurately as possible, under the control of observations by using all the available information and by taking into account the observation and model errors. We developed a framework for Observing System Simulation Experiments (OSSEs) based on the ensemble square root Klaman filter (EnSRF) technique, and the framework could assimilate two data sets of chlorophyll a retrieved from Environmental Satellite 1 (HJ-1) and moderate resolution imaging spectro-radiometer (MODIS) onboard the Terra platform, separately. We assumed that one of the retrieved results was the proxy “truth value” and the other one contained errors. Based on EnSRF technique, combined with the three dimensional numerical model of wind-driven circulation and pollutant transportation in a large-scale lake, we investigated the potential impact of location distributions of simulated observation stations in Taihu Lake (China) on the performance of data assimilation. In addition, the effectiveness of this method for evaluation and prediction of the concentration of chlorophyll a was validated. The results showed that the location of simulated observation stations not only influenced the accuracy of evaluating and forecasting results, but also the performance of data assimilation. We also discuss the impact of assimilation time and background error on the results. This study demonstrated that this method of data assimilation is effective for evaluation and prediction of the concentration of chlorophyll a in highly turbid case 2 waters.
References
Anderson, J. L., 2001. An ensemble adjustment Kalman filter for data assimilation. Mon. Wea. Rev. 129(12), 2884–2903.
Anderson, L. A., Robinson, A. R., Lozano, C. J., 2000. Physical and biological modeling in the Gulf Stream region: I. Data assimilation methodology. Deep-sea research Part I. 47(10), 1787–1827.
Baptista, A. M., Zhang, Y. L., Chawla, A., Zualuf, M., Seaton, C., Myers, E. P., III, Kindle, J., Wilkin, M., Burla, M., Turner, P. J., 2005. A cross-scale model for 3D baroclinic circulation in estuary-plume-shelf systems: II. Application to the Columbia River. Continental Shelf Research 25(7-8), 935–972.
Bennett, A. F., 1992. Inverse Methods in Physical Oceanography. Cambridge University Press, Cambridge.
Bishop, C. H., Etherton, B. J., Majumdar, S. J., 2001. Adaptive sampling with the ensemble transform Kalman filter. Part I: Theoretical aspects. Mon. Wea. Rev. 129(3), 420–436.
Burgers, G., van Leeuwen, P. J., Evensen, G., 1998. Analysis scheme in the ensemble Kalman filter. Mon. Wea. Rev. 126(6), 1719–1724.
Deremble, B., Hogg, A. M., Berloff, P., Dewar, W. K., 2011. On the application of no-slip lateral boundary conditions to ‘coarsely’ resolved ocean models. Ocean Modelling 39(3), 411–415.
Dimet, F.-X. L., Talagrand, O., 1986. Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects. Tellus 38A(2), 97–110.
Evensen, G., 1994. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics. J. Geophys. Res. 99(C5), 10143–10162.
Evensen, G., 2003. The ensemble Kalman filter: Theoretical formulation and practical implementation. Ocean Dyn. 53(4), 343–367.
Freitas, F. H., 2009. Spectral merging of MODIS/MERIS Ocean Colour Data to improve monitoring of coastal water processes. International Institute for Geo-Information Science and Earth Observation, Enschede.
Gu, J., Li, X., Huang, C. L., Okin, G. S., 2009. A simplified data assimilation method for reconstructing time-series MODIS NDVI data. Advance in space research. 44(4), 501–509.
Houtekamer, P. L., Mitchell, H. L., 1998. Data assimilation using an ensemble Kalman filter technique. Mon. Wea. Rev. 126(3), 796–811.
Houtekamer, P. L., Mitchell, H. L., 2001. A sequential ensemble Kalman filter for atmospheric data assimilation. Mon. Wea. Rev. 129(1), 123–137.
Huang, S. L., Xu, J., Wang, D. Y., Lu, D. Y., 2010. Variation assimilation model of storm surge. Chinese Journal of Hydrodynamics 25(4), 469–474.
Huang, X., 1999. Eco-Investigation, Observation and Analysis of Lakes. Standard Press China, Beijing.
Kamachi, M., O’Brien, J. J., 1995. Continuous data assimilation of drifting buoy trajectory into an equatorial Pacific Ocean model. Journal of Marine Systems 6(1-2), 159–178.
Lahoz, W., Khattatov, B., Menard, R., 2010. Data Assimilation: Making Sense of Observations. Springer-Verlag, New York.
Le, C. F., Li, Y. M., Zha, Y., Sun, D. Y., Huang, C. C., Lv, H., 2009. A four-band semi-analytical model for estimating chlorophyll a in highly turbid lakes: The case of Taihu Lake, China. Remote Sensing of Environment 113(6), 1175–1182.
Leisenring, M., Moradkhani, H., 2012. Analyzing the uncertainty of suspended sediment load prediction using sequential data assimilation. Journal of Hydrology 468–469, 268–282.
Lv, B., Jin, S., Ai, C. F., 2010. A conservative unstructured staggered grid scheme for incompressible navier-stokes equations. Journal of Hydrodynamics 22(2), 173–184.
Miesch, C., Cabot, F., Briotter, X., Henry, P., 2003. Assimilation method to derive spectral ground reflectance of desert sites from satellite datasets. Remote Sensing of Environment 87(2–3), 359–370.
Natvik, L.-J., Evensen, G., 2003. Assimilation of ocean colour data into a biochemical model of the North Atlantic Part I. Data assimilation experiments. Journal of Marine Systems 40–41, 127–153.
Supharatid, S., 2008. Assimilation of real-time deep sea buoy data for tsunami forecasting along Thailand’s Andaman coastline. Science of Tsunami Hazards. 37(3), 30–47.
Talagrand, O., Courtier, P., 1987. Variational assimilation of meteorological observations with the adjoint vorticity equation. Part I: Theory. Quart. J. Roy. Meteor. Soc. 113(478), 1311–1328.
Tippett, M. K., Anderson, J. L., Bishop, C. H., Hamill, T. M., Whitaker, J. S., 2003. Ensemble square root filters. Mon. Wea. Rev. 131(7), 1485–1490.
Wang, Q., Wu, C. Q., Li, Q., 2010. Environment Satellite 1 and its application in environment monitoring. J. Remote Sens. 14(1), 104–121.
Wang, Q., Zhou, W. D., Wang, D. X., Dong, D. P., 2014. Ocean model open boundary conditions with volume, heat and salinity conservation constraints. Adv. Atmos. Sci., 31(1), 188–196.
Welschmeyer, N. A., 1994. Fluorometric analysis of chlorophyll a in the presence of chlorophyll b and pheopigments. Limnol. Oceanogr. 39(8), 1985–1992.
Whitaker, J. S., Hamill, T. M., 2002. Ensemble data assimilation without perturbed observations. Mon. Wea. Rev. 131(7), 1913–1924.
Zhang, J. L., Thomas, D. R., Rothrock, D. A., Lindsay, R. W., Yu, Y., Kwok, R., 2003. Assimilation of ice motion observations and comparisons with submarine ice thickness data. Journal of Geophysical Research. 108(C6).
Zhang, Y. L., Baptista, A. M., Myers, E. P., III, 2004. A cross-scale model for 3D baroclinic circulation in estuary-plume-shelf systems: I. Formulation and skill assessment. Continental Shelf Research 24(18), 2187–2214.
Zhang, Z., Song, Z. Y., 2010. Three-dimensional numerical modeling for wind-driven circulation and pollutant transport in a large scale lake. International Conference of Bioinformatics and Biomedical Engineering. IEEE, Chengdu.
Zhang, Z., Song, Z. Y., Lv, G. N., 2009. A New Implicit Technique for Solving 3D Shallow Water Flows. Journal of Hydrodynamics (Series B) 21(6), 790–798.
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