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Ninth International Conference on Permafrost ... - IARC Research

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Ni n t h In t e r n at i o n a l Co n f e r e n c e o n Pe r m a f r o s tTable 1. The soil temperature RMSE (K) of SHAW simulati<strong>on</strong> against the result of assimilating the SSM/I brightness temperature.RMSE (K)Soil Layer (cm)0 4 10 20 40 60 80 100 130 160 200 258SHAW Simulati<strong>on</strong> 10.09 3.03 2.43 2.07 1.65 1.75 1.67 1.61 1.20 0.81 0.36 0.04Assimilating SMTMS 8.05 1.61 0.91 0.60 0.99 0.79 0.63 0.38 0.42 0.51 0.31 0.04Assimilating SSM/I 8.60 1.89 1.23 1.15 1.44 1.06 0.73 0.61 0.62 0.64 0.34 0.04observati<strong>on</strong>s. The RMSE (root mean square error) of theassimilated result of 4 cm soil temperature is 0.16 K, whichis significantly less than that (3.03 K) by running the SHAWmodel al<strong>on</strong>e.Assimilating the 4 cm depth observati<strong>on</strong> not <strong>on</strong>ly improvesthe state estimati<strong>on</strong> of the corresp<strong>on</strong>ding layer, but also canimprove the estimati<strong>on</strong> of the whole soil profile state whengiven reas<strong>on</strong>able model error covariance matrix (Hoeben &Troch 2000).Figure 1 showed the assimilati<strong>on</strong> results of the n<strong>on</strong>diag<strong>on</strong>alelements equal to zero (Fig. 1a) and equaling thevalues determined by the correlati<strong>on</strong> analysis (Fig. 1b).For clarity, part of the assimilati<strong>on</strong> result at the 4 cm layerwas shown here. The zero n<strong>on</strong>-diag<strong>on</strong>al elements meanthe soil temperature of each layer is independent; <strong>on</strong>ly soiltemperature at 4 cm can be updated after assimilating thecorresp<strong>on</strong>ding soil temperature observati<strong>on</strong>. The deep soiltemperature can <strong>on</strong>ly be influenced slowly by the processof interlayer flow described in the SHAW, so the dataassimilati<strong>on</strong> efficiency is very low. The error covariancematrix with n<strong>on</strong>-diag<strong>on</strong>al elements not equal to zero canplay the key role of transferring the updated surface stateinformati<strong>on</strong> to the deep soil quickly, achieving improvedestimati<strong>on</strong> of the soil temperature profile. After assimilatingthe 4 cm depth soil temperature observati<strong>on</strong>, the RMSEof soil temperature decreased 1 K <strong>on</strong> average, comparedto SHAW simulati<strong>on</strong>. The RMSE of assimilati<strong>on</strong> withreas<strong>on</strong>able covariance decreased about 0.7 K compared toassimilati<strong>on</strong> with covariance as zero.Assimilating the 19 GHz SSM/I brightness temperatureFor the regi<strong>on</strong>ally frozen ground research, the availablein situ observati<strong>on</strong> is sparse. Remote sensing, especiallythe passive microwave radiometers, would be a promisingobservati<strong>on</strong> method because of its frequent revisit cycle andglobal/regi<strong>on</strong>al coverage.The key to merging the brightness temperature observati<strong>on</strong>into the assimilati<strong>on</strong> system is the microwave radiativetransfer model, which can act as the bridge between themodel state variables predicted by SHAW and brightnesstemperature observed by the radiometer. The volumescatteringeffect was not c<strong>on</strong>sidered in the LSP/R model,so the 19 GHz brightness temperatures, having the l<strong>on</strong>gestwavelength in the SSM/I frequencies, were chosen as theobservati<strong>on</strong>s to be assimilated.After assimilating the SSM/I 19 GHz brightnesstemperature, the RMSE of soil temperature decreases 0.76 K<strong>on</strong> average (Table 1). Especially the improvement of 0–100cm layer soil temperature was obvious, nearly 1–2 K. Theimprovement by assimilating the brightness temperatureis lower than assimilating in situ observati<strong>on</strong>, because thebrightness temperature is an indirect observati<strong>on</strong>, and thereexist uncertainties in the microwave radiative transfermodel.C<strong>on</strong>clusi<strong>on</strong>The <strong>on</strong>e-dimensi<strong>on</strong>al assimilati<strong>on</strong> experiments showedthat assimilating the in situ observati<strong>on</strong>s and the passivemicrowave brightness temperature can remarkably improvethe estimati<strong>on</strong> of a soil temperature profile.The regi<strong>on</strong>al four-dimensi<strong>on</strong>al active layer data assimilati<strong>on</strong>system can be developed based <strong>on</strong> the current <strong>on</strong>edimensi<strong>on</strong>asystem.It will be able to provide soil temperature,water c<strong>on</strong>tent, ice c<strong>on</strong>tent, and other datasets with spatiotemporaland physical c<strong>on</strong>sistence. The datasets can beused in frozen soil and climate change interacti<strong>on</strong> research,promoting the in-depth and quantitative understanding offrozen soil dynamics.AcknowledgmentsThe authors thank the support from the Nati<strong>on</strong>al NaturalScience Foundati<strong>on</strong> of China (40701113; 40601065). Thedata used in the paper are generously provided by the CEOPand NSIDC.ReferencesEvensen, G. 2003. The ensemble kalman filter: Theoreticalformulati<strong>on</strong> and practical implementati<strong>on</strong>. OceanDynamics 53: 343-367.Flerchinger, G.N. & Saxt<strong>on</strong>, K.E. 1989. Simultaneous heatand water model of a freezing snow-residue-soilsystemⅠ: Theory and development. Transacti<strong>on</strong>s ofthe ASAE 32(2): 565-571.Hoeben, R. & Troch, P.A. 2000. Assimilati<strong>on</strong> of activemicrowave observati<strong>on</strong> data for soil moisture profileestimati<strong>on</strong>. Water Resources <strong>Research</strong> 36(10): 2805-2819.Li, X., Huang, C.L., Che, T., Jin, R., Wang, S.G., Wang, J.M.,Gao, F., Zhang, S.W., Qiu, C.J. & Wang, C.H. 2007.Development of a Chinese land data assimilati<strong>on</strong>system: Its progress and prospects. Progress inNatural Science 17(8): 881-892.Liou, Y.A. & England, A.W. 1998. A land surface process/radiobrightness model with coupled heat and moisturetransport in soil. IEEE Transacti<strong>on</strong>s <strong>on</strong> Geoscienceand Remote Sensing 36(1): 273-286.118

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