Forecasting Time Series Albedo Using NARnet Based on EEMD Decomposition

Land surface albedo analysis and prediction are of great significance for global energy budget research and global change forecasting. Research has been performed on time series albedo analysis but seldom attempt was performed on land surface albedo prediction. This article develops an effective method for land surface albedo prediction from Moderate-Resolution Imaging Spectroradiometer (MODIS) time series albedo data (MCD43A3). It consists of time series data decomposing and time series data forecasting. The ensemble empirical mode decomposition (EEMD) method decomposes the MODIS historical time series albedo data into several intrinsic mode functions (IMFs) and one residual series, then the nonlinear autoregressive neural network (NARnet) method is used to forecast each IMF component and residue. The predictions of all IMFs and residue are summed to obtain a final forecast for the albedo series. The proposed method was performed on monthly and daily albedo prediction both in snow-free and snowy areas. The results showed that the forecast albedo consists of the MODIS albedo data well, with R2 greater than 0.89 and RMSE less than 0.052 for snow-free areas. For snowy areas, the forecasting also performed well during snow cover periods, with R2 greater than 0.76 and RMSE less than 0.076. For irregular change periods of snow falling and melting, it is hard to get very high prediction accuracy due to the irregular land surface change. For this problem, more land surface information should be introduced, or adjusting the model over time is necessary.

[1]  F. Gao,et al.  An Approach for the Long-Term 30-m Land Surface Snow-Free Albedo Retrieval from Historic Landsat Surface Reflectance and MODIS-based A Priori Anisotropy Knowledge , 2014 .

[2]  Bryan A. Tolson,et al.  Assimilation of SMOS soil moisture in the MESH model with the ensemble Kalman filter , 2014, 2014 IEEE Geoscience and Remote Sensing Symposium.

[3]  Jindi Wang,et al.  A Prior Knowledge-Based Method to Derivate High-Resolution Leaf Area Index Maps with Limited Field Measurements , 2016, Remote. Sens..

[4]  Norden E. Huang,et al.  Ensemble Empirical Mode Decomposition: a Noise-Assisted Data Analysis Method , 2009, Adv. Data Sci. Adapt. Anal..

[5]  Jindi Wang,et al.  Extended Data-Based Mechanistic Method for Improving Leaf Area Index Time Series Estimation with Satellite Data , 2017, Remote. Sens..

[6]  Yaguo Lei,et al.  Application of the EEMD method to rotor fault diagnosis of rotating machinery , 2009 .

[7]  Xiaotong Zhang,et al.  Review on Estimation of Land Surface Radiation and Energy Budgets From Ground Measurement, Remote Sensing and Model Simulations , 2010, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[8]  Alan H. Strahler,et al.  Validation of the MODIS bidirectional reflectance distribution function and albedo retrievals using combined observations from the aqua and terra platforms , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[9]  Samantha J. Lavender,et al.  MERIS Phytoplankton Time Series Products from the SW Iberian Peninsula (Sagres) Using Seasonal-Trend Decomposition Based on Loess , 2016, Remote. Sens..

[10]  Jindi Wang,et al.  Time Series High-Resolution Land Surface Albedo Estimation Based on the Ensemble Kalman Filter Algorithm , 2019, Remote. Sens..

[11]  R. Betts Offset of the potential carbon sink from boreal forestation by decreases in surface albedo , 2000, Nature.

[12]  Xian Zhang,et al.  A comparison study on electric vehicle growth forecasting based on grey system theory and NAR neural network , 2016, 2016 IEEE International Conference on Smart Grid Communications (SmartGridComm).

[13]  P. J. J. Luukko,et al.  Introducing libeemd: a program package for performing the ensemble empirical mode decomposition , 2015, Computational Statistics.

[14]  Kwok-wing Chau,et al.  Improving Forecasting Accuracy of Annual Runoff Time Series Using ARIMA Based on EEMD Decomposition , 2015, Water Resources Management.

[15]  N. C. Strugnell,et al.  An algorithm to infer continental-scale albedo from AVHRR data, land cover class, and field observations of typical BRDFs , 2001 .

[16]  Christoph Schneider,et al.  Spatio‐temporal prediction of snow cover in the Black Forest mountain range using remote sensing and a recurrent neural network , 2010 .

[17]  A. Strahler,et al.  On the derivation of kernels for kernel‐driven models of bidirectional reflectance , 1995 .

[18]  C. Justice,et al.  A revised land surface parameterization (SiB2) for GCMs. Part III: The greening of the Colorado State University general circulation model , 1996 .

[19]  Clément Albergel,et al.  Assimilation of surface albedo and vegetation states from satellite observations and their impact on numerical weather prediction , 2015 .

[20]  G. Gutman,et al.  Mapping global land surface albedo from NOAA AVHRR , 1999 .

[21]  K. Lai,et al.  A new approach for crude oil price analysis based on Empirical Mode Decomposition , 2008 .

[22]  Norden E. Huang,et al.  A review on Hilbert‐Huang transform: Method and its applications to geophysical studies , 2008 .

[23]  Alan H. Strahler,et al.  Retrieval of land surface albedo from satellite observations: a simulation study , 1998, IGARSS '98. Sensing and Managing the Environment. 1998 IEEE International Geoscience and Remote Sensing. Symposium Proceedings. (Cat. No.98CH36174).

[24]  S. Liang,et al.  Modeling MODIS LAI time series using three statistical methods , 2010 .

[25]  Jindi Wang,et al.  MODIS NBAR Time Series Modeling With Two Statistical Methods and Application to Leaf Area Index Recursive Estimation , 2015, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[26]  Feng Gao,et al.  Using MODIS BRDF and albedo data to evaluate global model land surface albedo , 2004 .

[27]  M. H. Costa,et al.  Climate Change after Tropical Deforestation: Seasonal Variability of Surface Albedo and Its Effects on Precipitation Change , 2003 .

[28]  J. Roujean,et al.  A bidirectional reflectance model of the Earth's surface for the correction of remote sensing data , 1992 .

[29]  T. Lenton,et al.  Mutation of albedo and growth response produces oscillations in a spatial Daisyworld. , 2005, Journal of theoretical biology.

[30]  J. Randerson,et al.  The Impact of Boreal Forest Fire on Climate Warming , 2006, Science.

[31]  Nadine Gobron,et al.  Partitioning the Solar Radiant Fluxes in Forest Canopies in the Presence of Snow , 2008 .

[32]  James Hansen,et al.  Assimilation of remotely sensed soil moisture and vegetation with a crop simulation model for maize yield prediction , 2013 .

[33]  A. Lapedes,et al.  Nonlinear signal processing using neural networks: Prediction and system modelling , 1987 .

[34]  Alan H. Strahler,et al.  An algorithm for the retrieval of albedo from space using semiempirical BRDF models , 2000, IEEE Trans. Geosci. Remote. Sens..

[35]  J. Townshend,et al.  A long-term Global LAnd Surface Satellite (GLASS) data-set for environmental studies , 2013 .

[36]  Alan H. Strahler,et al.  Retrieval of Surface Albedo from Satellite Sensors , 2008 .

[37]  Liang Shunlin,et al.  Analysis and prediction of MODIS LAI time series with Dynamic Harmonic Regression model , 2010 .

[38]  Jindi Wang,et al.  A Temporally Integrated Inversion Method for Estimating Leaf Area Index From MODIS Data , 2009, IEEE Transactions on Geoscience and Remote Sensing.

[39]  F. Maignan,et al.  Bidirectional reflectance of Earth targets: evaluation of analytical models using a large set of spaceborne measurements with emphasis on the Hot Spot , 2004 .

[40]  Alan H. Strahler,et al.  Geometric-optical bidirectional reflectance modeling of the discrete crown vegetation canopy: effect of crown shape and mutual shadowing , 1992, IEEE Trans. Geosci. Remote. Sens..

[41]  Heinz G. Stefan,et al.  Albedo models for snow and ice on a freshwater lake , 1999 .

[42]  Scott D. Peckham,et al.  Fire-induced changes in green-up and leaf maturity of the Canadian boreal forest , 2008 .

[43]  Crystal B. Schaaf,et al.  Accuracy assessment of the MODIS 16-day albedo product for snow: comparisons with Greenland in situ measurements , 2005 .

[44]  N. C. Strugnell,et al.  First operational BRDF, albedo nadir reflectance products from MODIS , 2002 .

[45]  S. Frolking,et al.  Canopy nitrogen, carbon assimilation, and albedo in temperate and boreal forests: Functional relations and potential climate feedbacks , 2008, Proceedings of the National Academy of Sciences.

[46]  C. Duguay,et al.  Modelled and satellite‐derived surface albedo of lake ice – part II: evaluation of MODIS albedo products , 2014 .

[47]  N. Huang,et al.  A new view of nonlinear water waves: the Hilbert spectrum , 1999 .

[48]  N. C. Strugnell,et al.  A global albedo data set derived from AVHRR data for use in climate simulations , 2001 .

[49]  Susan L. Ustin,et al.  Identification of invasive vegetation using hyperspectral remote sensing in the California Delta ecosystem , 2008 .

[50]  Yan-Fang Sang,et al.  Period identification in hydrologic time series using empirical mode decomposition and maximum entropy spectral analysis , 2012 .