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Daily rainfall time-series
          using
wavelet & RS vegetation



           Yann Chemin
     Water for a food-secure world
Contents


   Rational
   Methodology
   Implementation
   Hinkuregoda Exp
   Conclusions




                  Water for a food-secure world
Rational
Few Meteorological stations
Daily Rainfall points


From point to GRID
With Time-Series


Use vegetation as driver




                        Water for a food-secure world
Methodology




              Water for a food-secure world
Spatial Interpolation
r.HP1&2 @ frequency slice




                     Water for a food-secure world
Frequency data
                                                   Red = r.HP1
                                                   Green = r.HP2
                                                   Blue = n.LP2




    note the ½ and ¼ signal dimensions from 4018

                   Water for a food-secure world
Test Rainfall Reconstruction



    Is the algorithm working?

    Assess the spatial output

    Assess the time-series output

    Is the procedure loosing data?

    Cumulative rainfall consistency check



               Water for a food-secure world
Spatial & Temporal Output




             Water for a food-secure world
Cumulative Rainfall (11 years)




              Water for a food-secure world
Hinkuragoda Experiment




    Remove Hinkuragoda dataset (Mahaweli)

    Rerun processing

    Assess impact on reconstruction

    Assess histogram statistics changes



               Water for a food-secure world
Hinkuragoda Experiment




             Water for a food-secure world
Hinkuragoda Experiment



                                         Experiment Envt
                                             
                                                 Source rain gauges:
                                                 30-50 Km radius


                                         Experiment Results
                                             
                                                 Cumulative Rainfall:
                                                 85% accuracy
                                             
                                                 Reconstruction:
                                                 Linear difference




             Water for a food-secure world
Difference Histograms




             Water for a food-secure world
Histograms statistics



                    Exp1
                       *
                            Exp2
                               *
                                   Exp1   Exp2   
                                                     Histogram shapes
Sample size          627     618   4018   4018

Minimum                            -106   -112
                                                 
                                                     No changes
Maximum                             108    110


Arithmetic mean      3.1     6.1    0.0    0.7

Unbiased variance                   121    132


Biased skewness      0.6     0.9    0.6    1.6

Biased kurtosis      4.4     3.1     21     21

* Removed diff=0




                           Water for a food-secure world
On-Going Thoughts

 Working well with representative met.Stations


 Distance to Met Stations induces errors
    Errors for cumulative rainfall: linear
    Errors of rainfall event (1-3 days shift)


 Climate zoning Vs Heterogeneity



                Water for a food-secure world
Potential Applications


    Ungauged basins:
       −   Improve sampling rate of hydrological modeling

    Regional climate modeling
       −   RegCM (Solomon is using it):
            
                Precip Evap. overestimation in Version 3
               Precip forcing: EnKF assimilate Cevap to obs. Precip & Ev

    Food security early warning
       −   Markov chains, EnKF etc to store momentum of variations
       −   Higher S-T res than actual for FS forecasting models

    Agricultural insurance

                       Water for a food-secure world
Thank you




   Water for a food-secure world

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Daily rainfall time-series using wavelet and rs vegetation

  • 1. Daily rainfall time-series using wavelet & RS vegetation Yann Chemin Water for a food-secure world
  • 2. Contents  Rational  Methodology  Implementation  Hinkuregoda Exp  Conclusions Water for a food-secure world
  • 3. Rational Few Meteorological stations Daily Rainfall points From point to GRID With Time-Series Use vegetation as driver Water for a food-secure world
  • 4. Methodology Water for a food-secure world
  • 5. Spatial Interpolation r.HP1&2 @ frequency slice Water for a food-secure world
  • 6. Frequency data Red = r.HP1 Green = r.HP2 Blue = n.LP2 note the ½ and ¼ signal dimensions from 4018 Water for a food-secure world
  • 7. Test Rainfall Reconstruction  Is the algorithm working?  Assess the spatial output  Assess the time-series output  Is the procedure loosing data?  Cumulative rainfall consistency check Water for a food-secure world
  • 8. Spatial & Temporal Output Water for a food-secure world
  • 9. Cumulative Rainfall (11 years) Water for a food-secure world
  • 10. Hinkuragoda Experiment  Remove Hinkuragoda dataset (Mahaweli)  Rerun processing  Assess impact on reconstruction  Assess histogram statistics changes Water for a food-secure world
  • 11. Hinkuragoda Experiment Water for a food-secure world
  • 12. Hinkuragoda Experiment Experiment Envt  Source rain gauges: 30-50 Km radius Experiment Results  Cumulative Rainfall: 85% accuracy  Reconstruction: Linear difference Water for a food-secure world
  • 13. Difference Histograms Water for a food-secure world
  • 14. Histograms statistics Exp1 * Exp2 * Exp1 Exp2  Histogram shapes Sample size 627 618 4018 4018 Minimum -106 -112  No changes Maximum 108 110 Arithmetic mean 3.1 6.1 0.0 0.7 Unbiased variance 121 132 Biased skewness 0.6 0.9 0.6 1.6 Biased kurtosis 4.4 3.1 21 21 * Removed diff=0 Water for a food-secure world
  • 15. On-Going Thoughts Working well with representative met.Stations Distance to Met Stations induces errors Errors for cumulative rainfall: linear Errors of rainfall event (1-3 days shift) Climate zoning Vs Heterogeneity Water for a food-secure world
  • 16. Potential Applications  Ungauged basins: − Improve sampling rate of hydrological modeling  Regional climate modeling − RegCM (Solomon is using it):  Precip Evap. overestimation in Version 3  Precip forcing: EnKF assimilate Cevap to obs. Precip & Ev  Food security early warning − Markov chains, EnKF etc to store momentum of variations − Higher S-T res than actual for FS forecasting models  Agricultural insurance Water for a food-secure world
  • 17. Thank you Water for a food-secure world