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A new algorithm to automatically determine  the boundary of the scatter plot in the triangle method for evapotranspiration retrieval Hongbo Su 1,2 ,   Jing Tian 2 , Shaohui Chen 2 ,   Renhua Zhang 2   Yuan Rong 2 , Yongmin Yang 2 , Xinzhai Tang 2  and Julio Garcia 1 1. Department of Environmental Engineering, Texas A&M University at Kingsville, Kingsville, TX 78363, USA  2. The Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101, China IGARSS2011 Session: WE4.T09 Parameter Estimation
[object Object],[object Object],[object Object],Outline
What is Evapotranspiration?   Evapotranspiration (ET) is the combination of water that is evaporated from the surface and transpired by plants as a part of their metabolic processes. Background and Motivation
[object Object],[object Object],[object Object],Potential Applications: Draught and flood monitoring and prediction, water resource management  Weather prediction and climate change detection Crop yield estimation, optimal irrigation planning Importance of the Evapotranspiration Study   Background and Motivation
[object Object],Limitation of the ground measurements: Spatial scale is about  tens or hundreds  of  meters , dependent on the land surface. Instruments can’t be deployed in remote area. Advantage:  High Accuracy ( 10-15% ) Background and Motivation Bowen Ratio System Eddy Correlation System
[object Object],Opportunity: Make use of the abundant satellite data observed from Space Larger scale Global Circulation Model (GCM), regional numerical weather prediction models and Agricultural applications  require  a globally or regionally distributed ET product  to improve the global study and their prediction accuracy. Challenges: ,[object Object],[object Object],[object Object],Terra Aqua Background and Motivation
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Background and Motivation Jetse D. Kalma, Tim R. McVicar, Matthew F. McCabe , “ Estimating Land Surface Evaporation: A Review of Methods Using Remotely Sensed Surface Temperature Data ”, Surveys in Geophysics, 2008 Volume 29, Numbers 4-5, 421-469, DOI: 10.1007/s10712-008-9037-z  Zhao-Liang Li, Ronglin Tang, Zhengming Wan, et. Al. “ Review: A Review of Current Methodologies for Regional Evapotranspiration Estimation from Remotely Sensed Data ”,  Sensors   2009 ,  9 (5), 3801-3853; doi:10.3390/s90503801
[object Object],History: Firstly proposed by Justice in 1980’s. Then developed and improved in the recent 3 decades, by  Carlson et al., 1981; Wetzel et al., 1983; Carlson et al., 1984; Nemani and Running, 1989; Kustas, 1990;  Stewart et al., 1994; Kustas and Norman, 1996; Bastiaanssen et al., 1998; Mecikalski et al, 1999;  Petropoulis et al., 2006  Background and Motivation
[object Object],Background and Motivation Mo (Soil Moisture Availability) increasing from 0 on the right side (the warm edge). Curved lines labeled as fractions represent the evapotranspiration fraction, EF. Simulated by SVAT Model
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Background and Motivation ,[object Object],[object Object],[object Object],Advantages : Requiring only 2-3 inputs Less computation intensive
[object Object],[object Object],[object Object],[object Object],Background and Motivation PWSI=1 DPWSI PWSI=0 Actual wet line A C A  C  VFC pixel Fig.1  The scatter plot of  DPWSI B ’ B Surface Temperature
Methodology ,[object Object],[object Object],[object Object],[object Object]
Methodology Three different algorithms were developed to automatically determine the boundary of the triangle shape in the scatter plots.  It is assumed that x denotes the variable in the X dimension, y stands for the variable in the Y dimension in the two-dimensional scatter plot, the number of pixel is N and the threshold is α ( 0<α<0.5)
Methodology ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Methodology For some particular shape of the scatter plot (see Figure  on the right,  albedo V.S. Vegetation Fraction ), the above algorithm couldn’t converge because of the forked shape on the right hand side.
Methodology ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Methodology Algorithm III is quite different with the above two. Firstly, the x-y space is divided equally into  n  (here  n  is assigned to be 15) domains according to their x values. For vegetation fraction, it is in the range of 0 and 1.  Secondly, after sorting the y values in each of the 15 sub-domains, the  α  and (1- α ) quintile of the y values is retrieved.  Thirdly, the lower boundary line is fitted using the 15  α  quintile y values and the corresponding x values. Similarly, the upper boundary line is fitted using the 15 (1- α ) quintile y values and the corresponding x values.
Methodology Examples of the determination of the boundary of the scatter plot Figure 2 Albedo V.S. Vegetation Fraction for (a) date 03/14/2006; (b) date03/28/2006
Energy Balance: Parameterized using fractional vegetation cover ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Heat balance, often used in Hydrology and Meteorology Radative balance, conveniently estimated by remote sensing Methodology After the boundary of the triangle shape is determined, the standard triangle method is applied to calculate the terrestrial evaporation
Methodology
Findings and Conclusion The study area is the Northern China Plain, which is flat and has a wide range of soil wetness and fractional vegetation cover.  MODIS land data products, including land surface temperature, albedo, vegetation index, together with the necessary meteorological variables (mainly the surface downward and upward radiative fluxes) from the GDAS (Global Data Assimilation System) database developed by NOAA/NCEP, are used to test the proposed algorithm. Figure 3 Evapotranspiration estimate for the Northern China Plain based on the new algorithm
[object Object],[object Object],[object Object],[object Object],Findings and Conclusion
Thanks for your attention! Contact Info: Hongbo Su  [email_address] [email_address]

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IGARSS11_HongboSu_ver3.ppt

  • 1. A new algorithm to automatically determine the boundary of the scatter plot in the triangle method for evapotranspiration retrieval Hongbo Su 1,2 , Jing Tian 2 , Shaohui Chen 2 , Renhua Zhang 2 Yuan Rong 2 , Yongmin Yang 2 , Xinzhai Tang 2 and Julio Garcia 1 1. Department of Environmental Engineering, Texas A&M University at Kingsville, Kingsville, TX 78363, USA 2. The Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing, 100101, China IGARSS2011 Session: WE4.T09 Parameter Estimation
  • 2.
  • 3. What is Evapotranspiration? Evapotranspiration (ET) is the combination of water that is evaporated from the surface and transpired by plants as a part of their metabolic processes. Background and Motivation
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13. Methodology Three different algorithms were developed to automatically determine the boundary of the triangle shape in the scatter plots. It is assumed that x denotes the variable in the X dimension, y stands for the variable in the Y dimension in the two-dimensional scatter plot, the number of pixel is N and the threshold is α ( 0<α<0.5)
  • 14.
  • 15. Methodology For some particular shape of the scatter plot (see Figure on the right, albedo V.S. Vegetation Fraction ), the above algorithm couldn’t converge because of the forked shape on the right hand side.
  • 16.
  • 17. Methodology Algorithm III is quite different with the above two. Firstly, the x-y space is divided equally into n (here n is assigned to be 15) domains according to their x values. For vegetation fraction, it is in the range of 0 and 1. Secondly, after sorting the y values in each of the 15 sub-domains, the α and (1- α ) quintile of the y values is retrieved. Thirdly, the lower boundary line is fitted using the 15 α quintile y values and the corresponding x values. Similarly, the upper boundary line is fitted using the 15 (1- α ) quintile y values and the corresponding x values.
  • 18. Methodology Examples of the determination of the boundary of the scatter plot Figure 2 Albedo V.S. Vegetation Fraction for (a) date 03/14/2006; (b) date03/28/2006
  • 19.
  • 21. Findings and Conclusion The study area is the Northern China Plain, which is flat and has a wide range of soil wetness and fractional vegetation cover. MODIS land data products, including land surface temperature, albedo, vegetation index, together with the necessary meteorological variables (mainly the surface downward and upward radiative fluxes) from the GDAS (Global Data Assimilation System) database developed by NOAA/NCEP, are used to test the proposed algorithm. Figure 3 Evapotranspiration estimate for the Northern China Plain based on the new algorithm
  • 22.
  • 23. Thanks for your attention! Contact Info: Hongbo Su [email_address] [email_address]

Editor's Notes

  1. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  2. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  3. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  4. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  5. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  6. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  7. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  8. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  9. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  10. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively
  11. The principle consists of performing a multiresolution decomposition on high resolution panchromatic image (HRPI) using AWT. The approximation component and low resolution multispectral image (LRMI) are fused through an intrinsic mode functions (IMFs) based model. Subsequently, the sharpening approximation component produced is substituted for the old one. High resolution multispectrall image (HRMI) is then obtained through an inverse AWT (IAWT). QuickBird images are used to illustrate the advantage of this method over the traditional AWT and EMD based methods both visually and quantitatively