Abstract
In this chapter, the problem of downscaling soil moisture data is addressed. Based on an existing methodology to downscale, we introduce the problem of optimal remote sensor trajectory so as to maximize the coverage of the areas where the downscaling is inaccurate. The problem is formulated as an optimal control one, which allows us to use optimal control solvers. A numerical method to solve the problem is introduced and successfully applied to a numerical example.
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References
Baker DG (1982) Synoptic-scale and mesoscale contributions to objective operational maximum–minimum temperature forecast errors. Mon Weather Rev 110(3):163–169
Benestad R, Hanssen-Bauer I, Chen D (2008) Empirical-statistical downscaling. World Scientific, Singapore
Bennet AF (1992) Inverse methods in physical oceanography. Cambridge University Press, Cambridge
Bennet AF (2002) Inverse modeling of the ocean and atmosphere. Cambridge University Press, Cambridge
Bennet AF, Chua BS, Leslie LM (1996) Generalized inversion of a global numerical weather prediction model. Meteorol Atmos Phys 60(1–3):165–178
Christensen JH, Räisänen J, Iversen T, Bjørge D, Christensen OB, Rummukainen M (2001) A synthesis of regional climate change simulations—a Scandinavian perspective. Geophys Res Lett 28:1003–1006
Christensen JH, Christensen OB (2003) Climate modelling: severe summertime flooding in Europe. Nature 421(6925):805–806
Christensen OB, Christensen JH, Machenhauer B, Botzet M (1998) Very high-resolution regional climate simulations over Scandinavia-present climate. J Climate 11:3204–3229
Cortes C, Vapnik V (1995) Support-vector networks. Mach Learn 20(3):273–297
Evensen G (2006) Data assimilation: the ensemble Kalman filter. Springer, New York
Eyre JR (1997) Variational assimilation of remotely-sensed observations of the atmosphere. J Meteorol Soc Jpn 75(1B):331–338
Heemink AW, Verlaan M, Segers AJ (2000) Variance reduced ensemble Kalman filtering
Huang XY, Yang X (1996) Variational data assimilation with the Lorenz model. Springer, Berlin
Kaheil YH, Gill MK, McKee M, Bastidas LA, Rosero E (2008) Downscaling and assimilation of surface soil moisture using ground truth measurements. IEEE Trans Geosci Remote Sens 46(5):1375–1384
Kim JW, Chang JT, Baker NL, Wilks DS, Gates WL (1984) The statistical problem of climate inversion: determination of the relationship between local and large-scale climate. Mon Weather Rev 112(10):2069–2077
Klein WH (1948) Winter precipitation as related to the 700-millibar circulation. Bull Am Meteorol Soc 29(9):439–453
Lorenc AC (1986) Analysis methods for numerical weather prediction. Q J R Meteorol Soc 112(474):1177–1194
Menke W (1984) Geophysical data analysis: discrete inverse theory. Academic Press, San Diego
Polak E (1997) Optimization. Algorithms and consistent approximations. Applied mathematical sciences. Springer, New York
Reichle RH, Walker JP, Koster RD, Houser PR (2002) Extended versus ensemble Kalman filtering for land data assimilation. J Hydrometeorol 3:728–740
Reichle RH (2008) Data assimilation methods in the earth sciences. Adv Water Resour 31(11):1411–1418 Hydrologic Remote Sensing
Schwartz AL, Polak E, Chen YQ (1997) A MATLAB toolbox for solving optimal control problems. Version 1.0 for Windows, May
Seuffert G, Wilker H, Viterbo P, Drusch M, Mahfouf J-F (2004) The usage of screen-level parameters and microwave brightness temperature for soil moisture analysis. J Hydrometeorol 5:516–531
Tarantola A (1987) Inverse problem theory. Methods for data fitting and model parameter estimation. Amsterdam, Elsevier
Tarantola A, Valette B (1982) Inverse problems = quest for information. J Geophys 50:159–170
Tippett MK, Anderson JL, Bishop CH, Hamill TM, Whitaker JS (2003) Ensemble square root filters. Mon Weather Rev 131:1485–1490
von Storch H, Hewitson B, Mearns L (2000) Review of empirical downscaling techniques. Technical report, Regional Climate Development Under Global Warming
von Storch H, Zorita E, Cubasch U (1993) Downscaling of global climate change estimates to regional scales: an application to Iberian rainfall in wintertime. J Climate 6:1161–1171
Wilby RL, Hassan H, Hanaki K (1998) Statistical downscaling of hydrometeorological variables using general circulation model output. J Hydrol 205(1–2):1–19
Wilks DS (2006) Statistical methods in the atmospheric sciences: an introduction. Amsterdam, Elsevier
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Tricaud, C., Chen, Y. (2012). Optimal Mobile Remote Sensing Policy for Downscaling and Assimilation Problems. In: Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems. Springer, London. https://doi.org/10.1007/978-1-4471-2262-3_8
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DOI: https://doi.org/10.1007/978-1-4471-2262-3_8
Publisher Name: Springer, London
Print ISBN: 978-1-4471-2261-6
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