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Journal of Hydrology journal homepage: www.elsevier.com/locate/jhydrol
A gap-filling model for eddy covariance latent heat flux: Estimating evapotranspiration of a subtropical seasonal evergreen broad-leaved forest as an example
Yi-Ying Chen a, Chia-Ren Chu b, Ming-Hsu Li a,⇑ a b
Graduate Institute of Hydrological and Oceanic Sciences, National Central University, Taiwan
Department of Civil Engineering, National Central University, Taiwan
a r t i c l e
i n f o
Article history:
Received 8 February 2012
Received in revised form 13 June 2012
Accepted 12 August 2012
Available online 25 August 2012
This manuscript was handled by A.
Bardossy, Editor-in-Chief, with the assistance of K.P. Sudheer, Associate Editor
Keywords:
Gap-filling model
Principal component analysis
K-nearest neighbors
Multiple regressions
Evapotranspiration
s u m m a r y
In this paper we present a semi-parametric multivariate gap-filling model for tower-based measurement of latent heat flux (LE). Two statistical techniques, the principal component analysis (PCA) and a nonlinear interpolation approach were integrated into this LE gap-filling model. The PCA was first used to resolve the multicollinearity relationships among various environmental variables, including radiation, soil moisture deficit, leaf area index, wind speed, etc. Two nonlinear interpolation methods, multiple regressions (MRS) and the K-nearest neighbors (KNNs) were examined with random selected flux gaps for both clear sky and nighttime/cloudy data to incorporate into this LE gap-filling model. Experimental results indicated that the KNN interpolation approach is able to provide consistent LE estimations while
MRS presents over estimations during nighttime/cloudy. Rather than using empirical regression parameters, the KNN approach resolves the nonlinear relationship between the gap-filled LE flux and principal components with adaptive K values
References: Central University. Kindly supports of tower construction by Director Jeen-Lian Hwong of the LHC center of the Taiwan Forestry Re- Alavi, N., Warland, J.S., Berg, A.A., 2006 Apipattanavis, S., Podesta, G., Rajagopalan, B., Katz, R.W., 2007. A semiparametric multivariate and multisite weather generator Aubinet, M., Chermanneb, B., Vandenhaute, M., Longdoz, B., Yernaux, M., Laitat, E., 2001 Baldocchi, D., 2008. ‘Breathing’ of the terrestrial biosphere: lessons learned from a global network of carbon dioxide flux measurement systems X., Malhi, Y., Meyers, T., Munger, W., Oechel, W., Paw, U.K.T., Pilegaard, K., Schmid, H.P., Valentini, R., Verma, S., Vesala, T., Wilson, K., Wofsy, S., 2001. Meteorol. Soc. 82, 2415–2434. Berbigier, P., Bonnefond, J.M., Mellmann, P., 2001. CO2 and water vapour fluxes for 2 years above Euroflux forest site Chen, Y.Y., Li, M.H., 2013. Determining adequate averaging periods and reference coordinates for eddy covariance measurements of surface heat and water vapor Dakhlaoui, H., Bargaoui, Z., Bárdossy, A., 2012. Toward a more efficient calibration schema for HBV rainfall–runoff model Dirmeyer, P.A., 1994. Vegetation as a feedback mechanism in midlatitude drought. J. Clim. 7, 1463–1483. Rebmann, C., Suyker, A., Tenhunen, J., Tu, K., Verma, S., Vesala, T., Wilson, K., Wofsy, S., 2001 Foken, T., Wichura, B., 1996. Tools for quality assessment of surface-based flux measurements Gockede, M., Rebmann, C., Foken, T., 2004. A combination of quality assessment tools for eddy covariance measurements with footprint modelling for the Guo, X., Zhang, H., Kang, L., Du, J., Li, W., Zhu, Y., 2007. Quality control and flux gap filling strategy for Bowen ratio method: revisiting the Priestley–Taylor Gurmessa, T., Bárdossy, A., 2009. A principal component regression approach to simulate the bed-evolution of reservoirs Hsieh, C., Katul, G.G., Chi, T., 2000. An approximate analytical model for footprint estimation of scalar fluxes in thermally stratified atmospheric flows Hui, D., Wan, S., Su, B., Katul, G., Monson, R., Luo, Y., 2004. Gap-filling missing data in eddy covariance measurements using multiple imputation (MI) for annual Jarvis, A.J., Stauch, V.J., Schulz, K., Young, P.C., 2004. The seasonal temperature dependency of photosynthesis and respiration in two deciduous forests Jolliffe, I.T., 2002. Principal Component Analysis, second ed. Springer-Verlag, New York. Juang, J.Y., Katul, G.G., Porporato, A., Stoy, P.C., Siqueira, M., Detto, M., Kim, H.-S., Oren, R., 2007 Thorgeirsson, H., Valentini, R., Verma, S., Vesala, T., Wilson, K., Wofsy, S., 2002 Li, M.H., Tien, W., Tung, C.P., 2009. Assessing the impact of climate change on the land hydrology in Taiwan Heinmann, M., Hui, D.F., Jarvis, A.J., Kattge, J., Noormets, A., Stauch, V.J., 2007. Monteith, J., Unsworth, M., 2008. Principles of Environmental Physics, third ed.